George Outlaw was a cousin of David Outlaw (1806-1868), who was sitting 1847-1853 for the state of North Carolina in Congress. He enjoyed a private school education, but also attended the public schools of his home. After that, he was engaged in agriculture and trade. Politically, he joined the Democratic- Republican Party. In the years 1796 and 1797 he was a member of the House of Representatives from North Carolina. Between 1802 and 1822 he was a member of the State Senate; in the years 1812 to 1814 he was president of that body.
Following the resignation of Mr Hutchins Gordon Burton Outlaw was in the due election for the second seat from North Carolina as his successor in the U.S. House of Representatives in Washington DC chosen, where he took up his new mandate on 19 January 1825. Until March 3, 1825, he could only finish the current legislative sessions in Congress. In 1824 he was defeated Willis Alston, who accused him of his voting behavior in the decided in Congress presidential election in early 1825. Outlaw had voted in favor of William Harris Crawford.
After his Ausscheidem from the U.S. House of Representatives, George Outlaw again devoted his earlier activities in agriculture and trade. He died on August 15, 1825, a few months after the end of his time as a congressman in Windsor.