I didn't have any meat but I did have a veggie burger and broccoli and cheese soup at a restaurant, next day I was doing the same as you. First time I threw up, I felt better, and went back to sleep. 10 minutes later, I suddenly feel more coming back up and throw up in the hallway on my way to the bathroom. In a span of 8 hours, I threw up like 7-8 times, at some points just throwing up water that I drank to try to feel better. I had to take craps every hour or so.
Thankfully, the worst was over with in 24 hours, and the day after that, I still felt queasy but not nearly as bad as the day before. I couldn't even stand the sight of food for several days after that. That was the first and only sick call I made for my work in the past 2 years.
This happened back in December 2002, and since that day I haven't eaten anything potentially harmful at the same restaurant (different location though). I still don't know if the veggie burger was the cause or the brocolli and cheese soup was.