Thanks for putting up with all my questions.
In a pup as young as yours, who hasn't had any vaccines, the first think we think of with vomiting and diarrhea is the possibility of something like Parvo. However, since your girl is acting mostly normal and doesn't seem to have any blood in the vomit or diarrhea, I suspect we're just dealing with a generalized case of upset stomach...probably from something she may have eaten outside.
The gold standard for treatment of both diarrhea and vomiting in a dog is fasting. Generally the problem is acute (meaning it comes on quickly) and can be taken care of without much trouble.
If this were my dog, I'd fast her for 24 hours (providing she doesn't have any underlying diseases such as diabetes that require she eat every few hours). No treats, no food, nothing. You can leave a small amount of water available, but don't allow her to drink too much at one time (placing ice cubes in her bowl so that she can't gulp water will help).
After the 24 hours, I'd offer a bland diet of boiled rice and boiled hamburger (3 parts rice to 1 part burger) in VERY small amounts (perhaps 1/4 c every hour or so) for the next 24 hours. Once you start feeding the rice mixture, monitor the dog for recurring vomiting or diarrhea. If the problem doesn't start again, you can begin slowly mix in her kibble over the next few days until you're back to just kibble.
If the digestive upset persists for more than another day or so, or if your dog becomes lethargic, begins to have blood in the diarrhea or vomit or shows other 'unusual' signs, you should have her seen by a vet, just to rule out any sort of illness or parasite infection.
I hope this helps!!