Born in Granville County, North Carolina, Cobb later moved to Louisville, Georgia.
From February 23, 1793, until January 31, 1806, Cobb served in various military positions in the United States Army including ensign and lieutenant in the Second Sub Legion and as captain in the Artillerists and Engineers.
He resigned from Congress before October 1812 to accept a captain's commission in the U.S. Army to fight in the War of 1812.
After his second period of military service, he returned to his plantation, Cherry Hill, northwest of Louisville.
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