Well, you may not like it, but Twilley Holler sounds awfully good, because THAT'S WHERE IT IS. lol
It will just naturally evolve into "we're going to run down to Twilley".
Our place, which we have owned for 21 years in Decatur County has Ricketts Creek flowing thru the center of it, and all of us now refer to it as Ricketts. My daughter-in-law even embroidered "Ricketts Creek" on a denim shirt which I wear proudly. A badge of pride, just like "Twilley" would be for you.