Scheduled vs on demand

FTM vent: I've read soo many things on feeding by a schedule vs on demand feeding. It was my first night home after delivery and I was getting myself up every 2 to 3 hours in an attempt to feed my LO. Needless to say she wouldn't take either breast in the several times I tried. It was pretty depressing to say the least. From 9:30pm to 5:00am she only fed twice but did have a few diaper changes, with 3 attempted feedings between those times. I was just wanted others opinions on either option is. Tonight my mother and I came up with a combo of scheduled feeding/checks and on demand feeding. Mainly because starting at 5:30am she had feedings close together and then through out the day at a semi decent pace.
But like I said, opinions, stories, etc?