Richardson was born in Jamestown, Virginia in the early 1700s. Both of Richardson's parents were from Northamptonshire, England. Richardson was a Delegate to The First Provincial Congress in 1775, and The Second Provincial Congress in 1776. Richardson served in the South Carolina Militia during the American Revolution and also in the Continental Army. He was the leader of the American forces in the Snow Campaign, and also fought in the Battle of Sullivan's Island, and the Battle of Savannah. In 1776, he commanded American forces and defeated the British in the Battle of Charleston. He commanded The South Carolina State Militia at Purrysburg in 1778. He was captured by the British when they took Charleston in 1780, was imprisoned by the British. With his health failing he was sent home and soon died.