I found your note while hunting for the ghost of one David Dancy who married into my Haynes (Francis May Woods) family - I loose all trace of him after 1815.I digress.
How wonderful to live in a home of such history.Have you perhaps seen the digital book on line by Mary Jones Polk Branch, entitled Memoirs of a Southen Woman?I printed and read all and so enjoyed it (and not just as she mentions my Mary Haynes)
Within she lists her line & the Thomas Gilchrist Polk you mention is surely he.
Colonel William Polk.
* 1759. Oldest son of General Thomas Polk and Susan Spratt. * 1824. Born January 18; died in Raleigh, North Carolina. * His first wife was Grizelda Gilchrist; second wife, Sarah Hawkins. * Issue of first marriage: * Thomas Gilchrist, who married Mary Trotter. * William Julias Polk, married Mary Long. * Issue of second marriage: * Lucias Junias, married Mary Easton; second wife, Anne Irwin. * Leonidas Polk, married Frances Devereux.