According to
http://books.google.com/books?id=G8YGAQAAIAAJ&pg=PA279&a... Indian Branch is one of 16 "minor civil divisions" in Pike C., AL.
That people are living there right up through the 1930 census makes it even curiouser that online map searches produce nothing, and searching the web isn't productive either.
You might want to put a query about it on the Pike Co. AL board. Perhaps it's since been absorbed into another area or renamed. You could also contact the Pike Co. local officials directly and ask them.
Good luck!
Susan Bork
Little Falls, NY