juliet, my gal yesterday also one shot took 1hr bf from both breast, then not enough, 65ml formula milk after half hour later. Then an hour later (1am already), woke up again crying for milk, drank from breast for abt 10mins, felt asleep. In the end, I went to top up formula milk, she drank 30ml, but I guess she took too much vomited some out. The thing is, she slept till morning 8.50am then woke up hungry.
I give my children milk only at their first cry. I know you are anxious about waking whole family, but do only warm up milk after he cried, otherwise if you gancheong give baby milk at very first hand, next time when he grows up he does not know wat is patient and how to wait. While waiting from EBM to be warmed, carry him and soothes him, so at least he will get a bit relax, you too and once EBM ready, he can drink at much better pace.
I was also forced to a corner with #1 as everyone scare he cried too much and get me give in to him very quickly, thus now he does not have the patience to wait for things to be done for him.