You can try making up for ti by using the urine of wine drinking men (seriously I looked this up).
Elizabeth is absolutely not adverse to this sort of experimentation. She blew off one-and-a-half of her fingers and part of her ear when she was in her teens, experimenting with explosives. She is
highly interested in these sorts of things.
She's relying on her reputation among the town as someone who has weird esoteric knowledge, yet gets results. She'll talk to anyone known to be a drinker, and explain that their urine will be an important part to increasing the speed at which we can synthesize gunpowder.
Her first three priorities are:
1) Make sure we have enough food for the winter
2) Make sure defenses are as secure as possible
3) Make sure arms production and training are as efficient as possible.
Unless something pressing happens, she will continue investing all her time into making sure these three needs are meet. Once a week, she will turn into a hawk and fly a spiral around the city, to make sure nothing is out of the ordinary. She will also check on the trogs at the end of her exploration.
Once per day, she will pay a visit to the prisoner, to make sure all is well. She will also talk to anyone watching him, once per day. She wants to make sure they seem okay, and want to pick up if he's saying or doing anything odd, when she's not around.