(Note: This requires purchasing at least 1 extra water jug, and assumes that you’re getting water & firewood the day before. Also, I assume you’re not using magic, as magic trivialises the chores.)
In order:
- Clean the cauldron.
- Clean the room.
- Dust the room.
- Wash rags & clothes.
- Go outside.
- Hang laundry.
- Go to town.
- Purchase all the things you need.
- Return to the house.
- Go inside.
- Start fire.
- Chop meat & veg.
- Start the stew.
- Sweep up.
- Go outside.
- Take in & fold laundry.
- Pump water.
- Chop firewood.
That should finish everything in time.