Dgc 1, not until day 3, but if we hadn't been away at a family wedding that weekend, it might have been sooner.
Dgc 2, born during the night and we saw her in the morning, when we took her 'big' brother (19 months old) home after he'd spent the night at ours.
Dgc 3, first child of our other son, day 2, when Mum and baby were still in hospital following a C-section. DS couldn't wait to introduce us to their new arrival!
I think I have been very lucky. I am happy to go along with whatever my sons and their wives want (my DiLs are both lovely), but they are all generally very considerate.