Hi T.,
After 4 children, I can't say that I recall any problems like this with shots. I have been told to expect issues like this, and it was suggested to give tylenol before shots were given, to help avoid the fever and such. You should contact your pediatrician to let them know what is going on this time, and maybe then they can advise you for the next time you go in for shots.
I wouldn't worry about the vomiting much. My son, 8 years old, vomits every time his temp goes above 101*. I think its his body's way to reject the fever. Try to give tylenol right after vomiting, she may be able to keep it down better. You do need to get control over the fever.
I have to keep an eye on him every time he gets a runny nose or a cough. I give him tylenol, or something for runny nose/cough, put him into a hot shower, as hot as he can take it (and he likes it hot)as long as 15 - 20 minutes, and give him soup for dinner or something heavier if he wants, then send him to bed shortly after. Just to try to avoid the oncoming fever. He usually wakes up with no symptoms in the morning.
Also, I'm sure you will here this from many other moms, give her Pedialyte. My kids didn't like it, so I bought the Ice pops. If you get them, freeze it and give her small bites for the fever. Give her lots of fluids, not milk or formula. Gerber baby juices, mix with water, just use the juice for taste.
Dont forget the cool bath/wash cloth to bring down the fever more naturally than tylenol.
Try to make her as comfortable as she wants to be, including sitting with you, or you holding her as much as she wants to be held, until she feels better. But remember to put her down when you can. And keep off the heavy blankets, unless you have the air conditioning on.
Good luck