You have alcohol poisoning. By definition, any time you puke, you have alcohol poisoning.
zixxer is right, keep trying to take down water and Gatorade until your stomach settles. I recommend something like Reese's Pieces because they are easy to keep down. I tried a sub from Jimmy John's once, and it's not greasy enough.
----Story----
The worst I ever was, was after a night where I drank 1/5th of Hot Damn (TERRIBLE stuff, man), and a case of beer. I'm a big guy (6'9"), but I'm lucky I didn't black out. I started at around noon, passed out at 7pm, woke up at 10pm and my puke was all over the floor. I puked about three more times, then tried to pass back out in a different room. Kept waking up dry-heaving. Got a big cup of water, drank, puke, drank, puke. This went on for a good hour or two, during which I swore I was never going to stop throwing up. I kept refilling my cup of water until I had half-filled the little trash can I was puking in. It was all water. I had a friend picking me up that next day (this was in college after finals and he was taking me home for X-mas break), and he got there around 10 am. I had been sleeping for about 5 hours, and I was still drunk. I immediately said hi and told him I still had to pack. I then threw up again. I threw up 3 more times before I finished packing (1/2 hour). That was the last time I puked, but I couldn't eat anything until about 5pm that night.
Drinking too much sucks. I no longer do that.