Would it be cause to worry if the bird has recently had normal droppings, but you found some runny ones from before?

 

I took Baby out this morning and she pooped rather normally on Jared's head. When I went to change her water, I noticed quite a bit of poop on the perch of the container - like the feces itself was looser than normal, it kind of spread out and ran down the side. Since she's not experiencing diarrhea at the moment, is she likely to be okay? I put brand new paper in her cage so I'll be able to monitor how she's doing.

You are doing the right thing by monitoring her droppings. A lot of things can cause a looser-than-normal stool, and they aren't all bad things. Stress, a sudden fright, drinking more than the usual amount of water (not always bad, maybe she was thirsty after exercise?), more veggies or any food that has a high water content can cause loose stools. If they remain normal you know there was probably nothing amiss.

 

How was she later in the day?

I was trying to remember if I had read that lots of things can cause diarrhea, several of them not being something to worry about. All the birds have been quieter than normal today, but I've been napping all afternoon and haven't been able to directly monitor them. Baby seems pretty normal and her droppings still look a little soft and a slightly different color, but I think she's been eating more pellets (hence the color change) than usual. You would think that would make them more solid, but who knows. I'm just gonna continue to watch and see. They're not terribly different than normal, so I'm not really worried, just concerned.

Pellets are very dry, so if she has been recently eating more of them she may be drinking more water. I would just monitor her for now. The color change is normal, it should change to a more brownish color with pellets. If her personality changes or her normal habits change in the next day or two along with the runny stools, then you need to re-evaluate whether she needs veterinary attention, or at least a phone call to them.