It's definitely not "Man Who Wrote Home Sweet Home," but I suspect it might be "There's No Place Like Home for a Married Man," which is another old time hillbilly composition in the same genre.

Asa Martin recorded this for Gennett in the late 1920s, and again in the 1970s on his Rounder LP "Dr Ginger Blue," which is out of print.
In this thread thread.cfm?threadid=5077 Mudcatter Pete Peterson speaks of singing this song, among others, on the night before the wedding of friends who got married despite the serenade. Doesn't quote any lyrics, however.

Georgia fiddle band leader Earl Johnson also recorded a "No Place Like Home" in the late 1920s, which is available on the second volume of his music from Document. The audio sample of this at eMusic doesn't give enough of the lyrics to match the fragments you quote, but it's at worst a variation on the same thematic territory.

Daddy John Love, sometime guitarist, yodeler, and blues singer with the J E Mainer band, also did a "No Place Like Home" on one of his solo sessions in 1936, and it's probably another variant of the same song.