To give someone small beer is to give them a tiny, trifling amount of beer, but in this context he gave them the full jug of beer.
Context: And he handed them each a warm pie and the full jug of beer, then left them to eat while he rearranged his wares.
Hypothesis: And he handed them each a warm pie and small beer from his own jug, then left them to eat while he rearranged his wares.

Is the hypothesis incorrect? (Yes, no, or unknown)?