I have to apologize, I can't recall how old Lily is. Especially if she is a puppy, and because it sounds like she eats "odd things," she may have worms. Worms will cause the troubles indicated.

Another cause may be the food. Do you know what they are feeding her?

I agree that a vet visit is in order.

Canned pumpkin is good for both diahhrea and constipation. Just make sure you buy canned pumpkin, and not pumpkin pie filling, which has spices and things in it. Two tablespoons daily will do.