There were at least 28 Anthony Hungerfords in England from 1400-1700.4 had a father named Thomas.Fortunately, only one lived during the time period you mentioned.This Thomas was Sir Thomas Hungerford, born 1444 in Down Ampney, England, died 31 Oct 1494, and was buried 1494 in St. Margarets, Westminster, London, England.His mother was Christina Halle, died 31 Jul 1504, buried in the Monastery, at Cirencester.Sir Thomas Hungerford was knighted at the coronation of Queen Elizabeth (Henry VII's wife) on 25 Nov 1485 and served as a sheriff of Gloucestershire.
Thomas' parents were Edmund (1410-26 Mar 1484) and Margaret (Burnell) Hungerford (d. 27 Mar 1486).Edmund was the son of Lord Walter (22 Jun 1378-9 Aug 1449) and Catherine (Peverell) Hungerford (@1382-9 May 1439.)
Lord Walter was the son of Sir Thomas (@1330-3 Dec 1398) and Joan (Hussey) Hungerford (?-1 Feb 1412)
Lord Walter and Sir Thomas were probably the most successful Hungerfords of all time and you could write a book about their exploits.Sir Thomas was the first recorded Speaker of the House of Commons and Lord Walter Hungerford fought at Agincourt, was Henry V's executor, and held many high offices in England during his life.
Sir Thomas was the son of Sir Walter (1286-bef 1370)and Elizabeth (FitzJohn) Hungerford.This Walter was the son of Walter and Maud (Heytesbury) Hungerford.These last two generations are somewhat suspect and should be taken with a grain of salt...I hope this helps.