Gretsch Parlour Guitar? - 1

Just got ahold of an oldish looking guitar... parlor sized. It needs some work on a brace (I think) and for the sides to be fixed up in a few spots... but.. It's definitely an old guitar and on the back of the headstock, right up at the tip top of the headstock, the insignia of Gretsch American is stamped right in to the wood. I'm trying to figure out if in fact it's a Gretsch or what.