He was the son of John Babington (High Sheriff in 1702), and was named for his grandfather Dr. Zachary Babington, chancellor ofLichfield Cathedral. He was distantly related toAnthony Babington, who in 1586 was hung, drawn and quartered on Tower Hill for his participation in theBabington Plot to putMary, Queen of Scots, on the English throne.[3] But a nearer relation had been chaplain to King Charles I.[4]
Babington attendedUniversity College, Oxford, matriculating at age 17 in 1707, and was a student at the Inner Temple in 1708.[5]
Babington resided at Curborough Hall,Curborough, Staffordshire, and later at Whittington Old Hall,Whittington, Staffordshire.[6][7] Zachary Babington's daughter Mary marriedTheophilus Levett, town clerk ofLichfield, Staffordshire. The Levett family inherited the Babington estates at Curborough[8] and Packington.