Roberta, The pedigree I have is fairly short. Edward Palmer of Nayton, Norfolk ("died c.1630, age c.55) and his wife Philippa, dau of Henry Armiger of Norfolk had the following children: i. Edward Palmer "of the Borough of Leicester, age 68 in 1682" who married Anne, dau of Thomas Benington of Leicester, Gent. ii. Thomas Palmer, who died unmarried in Ireland c.1675. iii. Roger Palmer, who went to Virginia, and afterwards to New England. iv. Robert Palmer of London who "married and had issue". v. Jane Palmer vi. Anne Palmer who married (1) John Townshend of Halstead; (2)Henry Palmer of Norfolk, "attorney at law". vii. Mary Palmer who married Peter Dey, of London.
Edward Palmer (i. above) and Anne Benington had: i. Edward Palmer of Osgathorpe, "Clerk of the Peace for the County of Leicester" who married (her first husband) Margaret, sole dau and heir of John Marshall of Osgathorpe. Had issue Anne who died an infant. ii. Thomas Palmer who died an infant. iii. Henry, age 24 and unmarried in 1682. iv. Thomas Palmer of Leicester, age c.34 in 1682, and then Under Sheriff of Leicester. Married Anna, dau of Hugh Watts of 'The Newark', Leicester. Had issue, Edward. age c. 6 in 1682. v. Anne Palmer, who married William Roberts, Rector of Carlton Curlieu. Had issue, Benjamin, age 18 in 1682. vi. Philippa Palmer who married Michael Wrighton of Osbaston. Had issue Philippa, age 15 in 1682. vii-ix. Elizabeth, Mary and Jane Palmer. All living unmarried in 1682.
Source: "Pedigree of Palmer, of Osgathorpe; and of The Newark, Leicester" from "The History and Antiquities of the County of Leicester" by John Nichols. Vol.III., Pt.II. p.923. First published 1804. Nichols says his pedigree is continued from the Visitation of Leicester, 1682. I don't know if this helps at all. Best wishes. M.W.