My other favorite old maps site is this "Vision Of Britain" one, it carries a First Series O.S. map so dating from abt 1831. This clearly shows Barnage Farm, and to the south east (Alvington direction) Bennets Barn. Midway twixt these is an unlabelled building, just south of Clanna. I think this might be the "Lodge" we're searching for ?.
Hope this link to this map works for you too.
http://www.visionofbritain.org.uk/maps/?layer=europe&xMin=3148111.19177091&yMin...