Wont eat or drink

Question
On Friday, 23rd, evening, my 10 wk. old JRT (female)began throwing up after chewing on a chew stick, which she chewed down about 1/4 of stick. She seemed to be sleeping quite a bit and threw up about every 1/2 hour, then went back to sleep each time. After she emptied her stomach, she stopped throwing up, but wouldn't eat or drink anything later. The next day, Saturday, I kind of forced her to drink water and she did and even lapped a small amount of milk. She kind of perked up and played and then mostly slept. Sunday, today, she will not eat and drink anything. She looks skinny and all she wants to do is sleep.  

Answer
First of all, don't give a puppy any milk. It's not good for them and probably made her feel worse (sorry).  
There are so many things it could be so I suggest you take her to the vet right away. Dehydration from not eating or drinking can kill your puppy very quickly.
Part of the stick could be stuck somewhere.
She could be allergic to an ingredient in it.
Did you get the pup from a reputable breeder? Has she had her vaccinations? Vomiting and diarrhea are signs of parvo virus which can also kill a puppy very quickly.
She is very little and very young and you shouldn't hesitate to take her in to see a veterinarian IMMEDIATELY.
Please let me know how she does! carolf1209@yahoo.com
good luck.