Albert C. Greene (1791-1863) was born in Coventry, Rhode Island to Perry (b.1749) and Elizabeth (Belcher) Greene (b. 1758). He had one sibling, a brother, William P. Greene (1784-1855). He was educated at the East Greenwich Academy until he was placed as an apprentice, at the age of 13, to George Brinkerhoff, an attorney in New York City. He was admitted to the bar in 1812 and continued his studies at the law school of Judges Reeves & Gould in Litchfield, Connecticut. He returned to Rhode Island in 1813 and set up practice in East Greenwich.