Born in Philadelphia, Pennsylvania, Randall read law to enter the bar in 1818.

He was a clerk for the Philadelphia Select Council from 1830 to 1833.

He was a Judge of the Court of Common Pleas for the First Judicial District from 1834 to 1842.

[1] On March 3, 1842, Randall was nominated by President John Tyler to a seat on the United States District Court for the Eastern District of Pennsylvania vacated by Judge Joseph Hopkinson.

Randall was confirmed by the United States Senate on March 8, 1842, and received his commission the same day, serving until his death on June 8, 1846, in Philadelphia.