My 13-month-old is currently on cow's milk (whole, and hormone-free) and mashed/soft foods, and we try to give her a dinner at about 7:00, followed by a few more hours of playtime, and then a story and/or bath and a big bottle of warm milk just before bed at about 10. My wife, who loves to sleep in, then tries not to have her wake up before 9; if she succeeds, our daughter normally doesn't need a nap during the day unless there's a trip in the car on the schedule.
Our pediatrician said that by 6 months, our baby should have stopped waking us up in the middle of the night. However, even given this routine and her age, she will still infrequently (maybe once or twice a week AFAIK) want another bottle at 2-4 AM. I can't find a rhyme or reason to it. However, I'm not extremely worried; some of my very earliest memories are of calling for mommy from my crib, wanting a sippy cup of juice or water at a time my own parents probably didn't think appropriate for anything but REM cycles, and that would have been at three or four years old.
Each child is his or her own person from the moment they're born, and while there is a bell curve for various areas of growth, development and learning, no one child falls right down the middle on all of it. Extreme outliers may not be statistically "normal", and it may be something that needs to be addressed, but just as likely it's your child being who he is.