If your daughter knows how to drink from a regular cup, you could just give her milk during meals at the high chair in a regular cup My son gets 3 cups of milk a day, or about 24 ounces (whole milk) and I simply give it to him with his meals. That's definitely enough milk for a one-year-old to be drinking, and then your problem is solved. Contrary to popular belief, your daughter does not have to have milk right before bed. Instead, give her a cup of milk with supper, then fill a sippy cup with water for any later-evening thirst! This also will help reduce cavities in the future! Hope this helps.