Bronwen,
I have completed more research for you in the Beresford book that I have already cited. Two of Thomas Beresford and Agnes Hassel's sons have the combination of names (William, Christopher and Edward) in them.
The first is Roger Beresford (1447-1520_ who married Agnes Bradmore of Bradmore. Among their children was a son Christopher (c1474 - 1534) who married Elizabeth ( ) c 1505(1485-1550. Among their children was a son William born c 1511. His wife's name is not given. It is known that he had issue, but no details are given.
Source: Beresford D.K. and Beresford B. K. (2011). The House of Beresford vol 1 1227 - 1727 - The First Five Hundred Years, published by the Beresford Family Society (UK), p. 59.
The second is William Beresford of Long Ledenham c 1460, married Alice Parker, daughter of Thomas Parkier. Among their children was:
a son Dennis, b. c1479 who married Margaret Shallcross c 1500. Among their children was a son Edward, b. c1500 in Barnborough, Yorks who married Joan Basset/Spratt, dau of Edward Cressacre c1535. Among their children were: 1) Edward b. c1540 who married Joyce Sherrard. No additional information is given about Edward and Joyce. 2)Dennis (1541-1605) of Grays Inn who married first Joyce Needham and second Jane Collis who bore him a son Edward (c1562-1599), and 3)Christopher (1542-1590)of Ledenham Feodary, who married Bridget Needham of Needham nee Ottowell of Thornsett and Fulbeck Lincolnshire.
Among the children of Christopher Beresford and Bridget Needham were:
1)Rev. John, Rector of Scopwick who married Judith Manby who bore him a son Christopher (b. 31 Mar 1592 and d 1691), married (1) Jane Rigg who bore him a son Christopher of Grays Inn (1618), who married a Skipworth, who bore him a son Christopher and a son Edward; and (2) Ann, who bore him a son Edward and five more, and a son William who married Catherine who bore him a son William, Chamberlain of Stamford Corporation, who married Maria, who bore him a son Benjamin (1697) - 1768), Twice Maor of Stamford, who married Frances Denton who bore him a son Benjamin (d1734) and a son Christopher d.s.p.; 2)William b. c 1565 who married Winifred Lascalles), 3) the Rev. Francis (c1566-1601), Vicar of Rowston and Fulbeck, who married Prudence Thornhill who bore him a son Edward (c1591). Source: Beresford D.K. and Beresford B. K. (2011). The House of Beresford vol 1 1227 - 1727 - The First Five Hundred Years, published by the Beresford Family Society (UK), pp. 142, 143, 146, 147.
There are no other Christopher Beresfords in the book. Volume 2 is at the printer now. I have ordered a copy and would be happy check it for Christopher Beresford as well once it arrives.
HSJ
I hope this is helpful.