Not the son of Sir Phillip Cooke, Kt.

Sir Thomas Cook lived at Wiltshire, England.1

Child of Sir Thomas Cook

1. Catherine Cook+1. She married Sir William Lock.1

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Notes

"William Locke (c 1486-1550) ... married 2nd, Catharine daughter of William [Thomas] Cooke of Salisbury. She died in Childbed of her eleventh child (Sir William's twentieth) 14 October 1537, and was buried at Merton, in Surrey."

• She was daughter of Sir Thomas Cooke, Knt., of Wiltshire. (Burke's Extinct Baronetcies, London, 2d ed., 1844 262-63.).
• The Book of the Locke's has her as the sister of Sir Thomas & daughter of Sir William.

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References

1. https://www.thepeerage.com/p32786.htm#i327852
   1. [S229] Burke John and John Bernard Burke, A Genealogical and Heraldic History of the Extinct and Dormant Baronetcies of England (1844, reprint; Baltimore, Maryland, USA: Genealogical Publishing Company, 1985), page 263. Hereinafter cited as Extinct and Dormant Baronetcies of England. < GoogleBooks > Anthony Hickman m. Rose, daughter of Sir William Lock, and co-heir of her mother Catherine, daughter of Sir Thomas Cook, knt. of Wiltshire. By this lady he had issue ...
2. (Book of Locke) Katherine Cooke (d. 14 Oct 1537), daughter of William, and sister and co-heir of Sir Thomas Cook, of Wiltshire, knight