for my experience, which was pretty crap tbh (due to a few other problems) but my OH was able to stay with us throughout, but once she was born, and it was nighttime, about 9pm, he had to come home, and returned at 8am the next day.
once i'd had maddi - i was in the delivery suite, which was a room on your own, then in theatre for em. c-section, then moved to post natal ward, which was FULL! maybe 24 women??
once in the post natal ward, even after em. c-section, they basically get you out in 24hours, as quick as possible
now the old hospital is closing and moving to another hospital, which has been extended, they are losing 100 maternity beds, so thats going to be fun
although yes we get free nhs care, sometimes the standard of said care, especially from my experience, is rather questionable!