He was the only son of Robert Whitehall, vicar of St. Mary Magdalen, Oxford and from 1616 rector of Addington, Buckinghamshire; and his first wife Bridget Watkins, who died soon after childbirth.
There coming into contact with his neighbour Richard Ingoldsby, Whitehall became popular with the parliamentary party, submitted to the committee for regulating the university, and was by them elected to a fellowship in Merton College in 1650.
In 1657 Henry Cromwell, writing from Ireland (22 June), requested the college authorities to allow him leave of absence, without loss of emolument, in order to give instruction in the University of Dublin; the permission was granted in the following August.
He was certainly there on 19 October 1670, when he wrote from Merton College to Joseph Williamson begging for consideration for his losses, he having been "worsted in spirituals of £250 a year and nearly £1,000 by the Cheshire misadventure" (probably referring to Booth's uprising).
[1] He published:[1] Whitehall contributed one Latin and one English poem to Musarum Oxoniensium elaiophoria, sive, Ob Fœdera Auspiciis Serenissimi Olivieri Reipub.