Randall then attended Trinity College at Oxford University, and graduated with a Bachelor degree on 9 February 1585.
At age 11, Randal was sent to Saint Mary Hall (now part of Oriel College) in Oxford, where he matriculated on 27 November 1581. Randall was elected a fellow of Lincoln College at Oxford on 6 July 1587, and received his Master of Arts degree on 9 July 1589. When Queen Elizabeth I"s visited Oxford University in August 1592, Randall ran the academical performance given in her honour.
Afterwards Randall studied divinity and was admitted Bachelor of Divinity on 28 June 1598.
On 31 January 1599, Randall was appointed rector of Saint Andrew Hubbard church in Little Eastcheap, London. In May 1622, Randall died at his house in the Minories parish in London.
He was buried in Saint Andrew Hubbard. In 1666, the church was destroyed in the Great Fire of London and was never rebuilt.
In his will, Randall gave part of his property to the poor of Great Missenden parish, All Hallows parish in Oxford, and Saint Andrew"s parish.
A tenement called Ship Hall. And to Lincoln College. The rest of his estate went to relatives.
His portrait, painted when he was fellow of Lincoln College, hangs in the common room there.