BMI lists a song called LONESOME SHACK written by Cyril D. Roberts Jr.

A compilation album of doo-wop songs called Follow Me to the Popcorn, Vol. 2 includes LONESOME SHACK performed by Ernie Washington. This song is attributed to someone named Roberts. (I suppose "popcorn" means corny pop songs?)

Fiddler Suzy Thompson recorded something called LONESOME SHACK on her album "No Mockingbird," Native and Fine Records 906-7 – but I don't know if that version has words.

Memphis Minnie recorded LONESOME SHACK BLUES in 1940.

But maybe none of these is what you're looking for.