Do villagers continue to fish while the game is turned off? I know that they will gather berries and harvest crops.. but it seems like they do not continue to fish.

I have 1 Master Farmer and 3 Adepts working the ocean out of a total population of 30. If I leave the game run, my foos supply increases.. but if I close it for 15 mins then I lose food.

they are supposed to keep farming yes regardless of the type of farming it is. They should actually farm more than when its on beause its calculated by numbers, they dont have to walk, and they dont get interrupted in effect.