man William I "The Conqueror" King of England‏‎, son of Robert I "The Magnificent" Duke of Normandy and Herleve (Arlette) de Falaise‏.
Born ‎ Oct 14, 1027 at Falais, Calvados, France, died ‎ Sep 9, 1087 at Hermenbraville, Seine-Maritime, France‎, 59 years, buried ‎ at Abbey of St Step, Caen, Calvados, France

William I, byname WILLIAM The CONQUEROR, or The BASTARD, or WILLIAM of NORMANDY, French GUILLAUME le CONQU

Married ‎± 1053 at Eu, Seine-Inferieure, France (approximately 30 years married) to:

woman Matilda (Maud) of Flanders‏‎, daughter of Baudouin V Count of "Baldwin V de Lille, Count of Flanders" Flanders and Adele (Aelis) Princess of France‏.
Born ‎ 1032 at Flanders, France, died ‎ Nov 3, 1083 at Caen, Calvados, France‎, 50 or 51 years, buried ‎ at Church of Holy Trinity, Caen, 1st marriage to: Gherbod the Fleming , 1st Earl of Chester, ‎2nd marriage to: William I "The Conqueror" King of England

For many years it was assumed that Gundred, who married William de Warrene, was a daughter of William I and Matilda (as indicated in The Plantagenet Ancestry). However it is now known that Gundred was a daughter of Gherbod the Fleming (as indicated in Ancestral Roots). The following information strongly suggests that Gundred's mother was Matilda (thus the mistaken notion that she was daughter of William I).

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copied from Bill Crawford's ancestry: crawfolk data base on World Connect Project, rootsweb.com
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Had Matilda of Flanders as many husbands as Adelaide, Countess of Ponthieu, and, like her, issue by each? What was the real cause of the inhibition of her marriage with William, Duke of Normandy, - its delay for six years? What truth is there in the story of her unreturned affection for the Angio-Saxon Brihtric Meaw, and of her vindictive conduct to him after she became Queen of England? I have hesitated to believe in the popular tradition that Duke William grossly assaulted the daughter of Baldwin in the street or in her own chamber, not that I have any doubt about his being capable of such an outrage, but because he was too politic to commit it, and she was not the woman to have forgiven it, assuming that the offence was the simple refusal of his hand on the ground of his illegitimacy. It is obvious, however, that the early life of Matilda is involved in mystery, and it is highly probable that a clearer insight into it would enable us to account for much which we now reject as legend, or fail to reconcile with acknowledged facts. If there be any foundation for the story of William's brutality, the outburst of ungovernable fury might have been due to a much greater provocation than has been assigned for it. Brihtric, the son of Algar or Alfar, sumamed Meaw (Snow), from the extreme fairness of his complexion, an Anglo-Saxon Thegn, possessor of large domains in England, had been sent on an embassy from King Edward the Confessor to the Connt of Flanders. Matilda, we are told, fell desperately in love with him, and offered herself to him in marriage! Either disgusted by her forwardness, or preferring another, he declined the flattering proposal. "Hell hath no fury like a woman foiled," and she kept her wrath warm till she was in a position to ruin the man she had so passionately loved. She had no sooner become the Queen of England than she induced William to confiscate, on some pretence, all Brihtric's estates, and obtained the greater proportion for herself. The unfortunate Thegn was arrested at his house at Hanley, in Worcestershire, on the very day Saint Wulfstan had consecrated a chapel of his building, dragged to Winchester, and died in a dungeon! The truth of this story is supported by the impartial evidence of Domesday, in which Hanley and the principal manors held by Brihtric in the time of King Edward are recorded as the possessions of Queen Matilda, and the remainder passed to Fitz Hamon.

After her hand had been rejected by the noble Saxon, it is presumed she became the wife of a Fleming, named Gherbod, who appears to have held the hereditary office of Advocate of the Abbey of Saint Bertin, in St. Omers, and by whom she had at least two children, viz., Gherbod, to whom William gave the earldom of Chester, and Gundred, "the sister of Gherbod," and wife of William de Warren. Was this a clandestine or an informal marriage, which, as it has never been acknowledged by any chronicler, contemporary or other, might have been unknown to the Duke of Normandy, when he proposed to one whom he believed to be the maiden daughter of the Count of Flanders, and the corporal chastisement inflicted, however unworthy of a man, passed over, sub silentio, for prudential reasons, by the parties wlio had been guilty of a disgraceful suppression of facts? The subsequent marriage under such circumstances will awaken no surprise in any one who has studied the character of William. Utterly unscrupulous, destitute of every generous, noble, or delicate feeling, every action of his life was dictated by POLICY alone. An alliance with the Count of Flanders might be considered by the crafty schemer sufficiently advantageous to warrant his overlooking any objectionable antecedents in the conduct of a granddaughter of a king of France, his first discovery of which had provoked his savage nature into a momentary ebullition of fury. Her being the mother of two children was a point in her favour with a man whose sole motive for marrying was the perpetuation of a dynasty, and the fair prospect of legitimate issue, in whose veins the blood of the Capets should enrich that of the Furrier of Falaise, would overcome any hesitation at espousing the widow of an Advocate of St. Bertin. On the other hand, Count Baldwin would be too happy to embrace the opportunity of reinstating his daughter in a position befitting her birth, and, as well as the lady herself, gladly condone past insults for future advantages and the hope of smothering, in the splendour of a ducal wedding, the awkward whispers of scandal.

I have said thus much simply to show the view that may be taken of these mysterious circumstances, in opposition to the rose-coloured representations of some modern historians, who, upon no stronger evidence, elevate the Conqueror into a model husband, and describe Matilda as the perfection of womankind.

Children:

1.
man Robert II "Curthose" Duke of Normandy‏‎
Born ‎± 1054 at Normandy, France, died ‎ Oct 2, 1134 at Cardiff Castle, Glamorganshire, Wales‎, approximately 80 years, buried ‎ at Died an old man as prisoner of Henry I
2.
man William II "Rufus" King of England‏‎
Born ‎± 1056 at Normandy, France, died ‎ Aug 2, 1100 at New Forest, near Lyndhurst, Hampshire, England‎, approximately 44 years, buried ‎ at Winchester, Hampshire, England

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Following copied from Barry Hummel, Jr, World Connect db=siderhummel, rootsweb.com:
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Strong, outspoken and ruddy (hence his nickname 'Rufus'), William II (reigned 1087-1100) extended his father's policies, taking royal power to the far north of England. Ruthless in his relations with his brother Robert, William extended his grip on the duchy of Normandy under an agreement between the brothers in 1091. (Robert went on crusade in 1096.) William's relations with the Church were not easy; he took over Archbishop Lanfranc's revenues after the latter's death in 1089, kept other bishoprics vacant to make use of their revenues, and had numerous arguments with Lanfranc's popular successor Anselm. William died on 2 August 1100, after being shot by an arrow whilst hunting in the New Forest.

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In 1100 Rufus was shot in the back with an arrow and killed while hunting in the New Forest in Hampshire. The incident was probably an assassination, and Rufus' alleged slayer, Walter Tirel, lord of Poix in Ponthieu, may have been under orders from the king's younger brother, Henry. Henry promptly seized the English throne as King Henry I. [Encyclopaedia Britannica]
3.
woman Adela of Normandy , Princess of England‏‎
Born ‎± 1062 at Rouen, Seine-Inferieure, Normandy, France, died ‎ Mar 8, 1136/37‎, approximately 74 years

Adela, French AD
4.
man Henry I "Beauclerc" King of England‏
Born ‎ 1068 at Selby, West Ride Yorkshire, England, died ‎ Dec 1, 1135 at Lyons-La-Foret, Normandy, France‎, 66 or 67 years, buried ‎ at Reading Abbey, Berkshire, England

After discussing with Betty Knoche, the various opinions from different sources about the mistresses and illegitimate children of Henry I (who probably had more than any other English monarch), I discovered an Appendix D in Volume XI of The Complete Peerage which lists all of the "known" children and connects them, where possible, with the known mistresses. I have scanned the text and included it in the notes below. Please excuse any errors in scanning/translating the text.

HENRY I'S ILLEGITIMATE CHILDREN (According to the Complete Peerage)

Henry I and Charles II were the only Kings of England to beget a large brood of bastards. Charles II