If You Like Fried Green Tomatoes ...

Fried Green Tomatoes at the Whistle Stop Cafe is a wonderful book. It's funny, it's southern, it has quirky characters, but a wonderful sense of family and place.  Here are similar titles that I think you'd enjoy:

Isle of Palms by Dorthea Benton Frank
Ladder of Years by Anne Tyler
Little Bitty Lies by Mary Kay Andrews

 The Garden Angel by Mindy Friddle. Two women, both alienated from
mainstream society, improbably connect and help to bring each other back
to life in a small, down-at-the-heels Southern town (synopsis).

Cold Sassy Tree by Olive Ann Burns. July 5, 1906...was the day E. Rucker
Blakeslee, proprietor of the general store and barely three weeks a
widower, eloped with Miss Love Simpson - a woman half his age and, worse
yet, a Yankee. (synopsis)

Not southern, but author Lorna Landvik has a similar sense of place and
affection for even the most dysfunctional of familes. Her books are all
great, but my favorite is Oh My Stars.

M. E. Raymond
Reference Librarian
Salem Church Branch