USRC Woodbury, also referred to as the Levi Woodbury, the first marine cutter to bear the name, was a schooner-rigged revenue cutter built for the United States Revenue Cutter Service. The Woodbury was authorized on 8 November 1836, and Revenue-Marine Captain H. D. Hunter was assigned to supervise construction. The Woodbury was built at Baltimore, Md, by L. H. Duncan, and was launched on 27 March 1837. The cutter was a 120 ton topsail schooner mounted with four 12 pound and one 6-pound cannon.