we collected nine week old puppy last Saturday 13/9 she wouldn't

Thanks for helping with all that good information Robert. Vomiting is a pretty open issue with a lot of potential causes. Given her eating of the new food / material there is a very strong suspicion that it was something her stomach wasn't ready to tolerate. New foods can definitely cause acute gastric upset and diarrhea. To go over the other possible causes, it could also be due to something being stuck - a foreign body such as a sock, rock, stick, piece of plastic, etc. This seems unlikely at this time with her. It could be due to pancreatitis, also not a particularly likely issue. Given her age, intestinal parasitism, giardia or parvo do have to be brought up. If she continues to vomit, then these would become much more suspect here. Being able to tell what of these it is due to requires a physical exam, x-rays, and some blood work. At this time, I would recommend having her seen as soon as possible to determine what is going on and how best she can be treated.
If a veterinary visit isn't possible here today / tonight, I'd pull up food and water from her for 4 hours. This literally means nothing - no treats, no food, no sips of water, nothing. Be sure to close toilet lids, pick up other pets water bowls, and monitor if goes outside so nothing can be ate or drank out there. The goal here is to let the stomach rest. If anything is ate or drank during this time, it has a very good chance of upsetting the stomach more. After we get past this time frame of having nothing, then we can start to allow access to water making sure not too much is drank at once. If no vomiting occurs with this, then after one hour of having the water available, you can start to offer bland food. The bland foods that you can prepare at home pretty easily are boiled hamburger / skinless chicken breast and white rice mixtures.
The huge hurdle for her to get over is the vomiting. If this continues, if she gets very weak, if she has obvious abdominal pain, or is not starting to eat and drink after 24 hours - she absolutely needs a veterinary exam. She at that point hasn't responded to at home care and needs a physical exam and testing to see what further therapy is needed. I hope this helps!!