A bit more information from the publication,
Cambridge University Alumni:
Name: Thomas Wakefield
College: TRINITY
Entered: Easter, 1617
More Information: Matric. sizar from TRINITY, Easter, 1617, ‘Wallfield.’ S. of Thomas (above). Bapt. at Horseheath, Cambs., Oct. 28, 1600. Scholar, 1619; B.A. 1620-1; M.A. 1624. Ord. deacon (Peterb.) Mar. 4; priest, Mar. 5, 1625-6. R. of Horseheath, 1626-69. Buried there Feb. 4, 1668-9. Father of Nathaniel (1652). (C. E. Parsons, Horseheath.)
Also possible father and grandfather:
Name: Thomas Wakefield
College: CHRIST'S
Entered: Michs. 1556
More Information: Matric. pens. from CHRIST'S, Michs. 1556. Perhaps s. of Thomas (above).
Name: Thomas Wakefield
More Information: B.A. 1522-3. B. at Pontefract, Yorks. First Regius Professor of Hebrew, 1540; taught, 1540-9 and again, 1553-69. Probably rejected protestantism and on that account others were appointed readers of Hebrew whilst he held the professorship. Married and had issue. Buried at Chesterton, Cambs., Apr. 24, 1575. Brother of Robert (1513-4) and perhaps father of the next. (Cooper, I. 337; D.N.B.)
They all left wills. Thomas Wakefield, clerk of Horseheath, had his proved in the Prerogative Court of Canterbury in 1626 so it's online on The National Archives' website:
http://www.nationalarchives.gov.uk/documentsonline/details-result.asp?Edoc_Id=1002761&queryType=1&resultcount=2The son, Thomas Wakefeild, clerk of Horseheath, had a will proved in the Consistory Court of Ely (VC 31:81 1669 CW), which should be available at Cambridgeshire Record Office or probably through LDS Family History Centres.
A Mr Thomas Wakefield, gentleman of Horseheath left a will and inventory in 1701 (VC 35:558 1701 CW In) and a yeoman, Thomas Wackfeilld/Wakefeild of Horseheath did the same two years later (VC 35:660 1703 CW In). There's also an administration and inventory in 1741 for Joseph Wakefeild, yeoman of Horseheath (VAC 2:48 1741 CA I+).
Thomas Wakefelde of Chesterton, reader of Hebrew in University of Cambridge, also left a will in 1575 (VC 16:370 1575 CW).