Our district starts over. Had the same situation Monday. Started to rain in the bottom of 4th. Finished the top of 5th with home team ahead. Rain stopped game and called win for the home team. It had been decided earlier that any rain outs would start over. In district tournament time it is a suspended game and picks up where left off.
Must have the visitors complete their half of the 5th. If home team is ahead in the bottom, then it's a game. If home team behind then must complete bottom half of 5th to be complete.