James Edward Allen Gibbs (1829–1902) was a farmer, inventor, and businessman from Rockbridge County in the Shenandoah Valley in Virginia. On June 2, 1857, he was awarded a patent for the first twisted chain-stitch single-thread sewing machine using a rotating hook. In partnership with James Willcox, Gibbs became a principal in the Willcox & Gibbs Sewing Machine Company.