Elisha Jefferson Dodson was the son of Charles Dodson and Lucy Morgan Dodson. He was born in March of 1788 in North Carolina. He married (first) Betsy G. Wren. After her death in 1813, he married Jane Elizabeth Blackwell.
Elisha J. Dodson moved to Madison County, Alabama. His brother, Armstead Dodson, had previously moved there. Elisha was a Methodist minister; Armstead a Baptist minister. In 1832, Elisha J. Dodson was a preacher on the Jackson County, Alabama, circuit. He died 29 July 1842 in Marshall County, Tennessee.