Hi Jessica,
Just t0 share, I'm a june 07 mummy, not to worry so much abt ur milk supply, dun just concentrate on pumping, just latch ur bb on whenever she's hungry, then milk will come in.
Most importantly, u must have plenty of rest, and drink lots of water and eat lots of fish, "wu yu" is good.
For my #1, me also keep pumping, din latch on that frequent, end up partial and before he's 3 months old is already totally on formula.
As for my #2, me take advice from my sis, latch and latch totally, till week 6-8, when supply more established, then me start to pump and store my milk, up till now, I'm still breastfeeding my gal.
All the best, jia you.