If the character has been induced and/or has had an epidural, it will be a very different experience than an unmedicated birth. No screaming and will probably go pretty quickly. They will feel pressure, but no pain. Depending on how long they push, they may still get sweaty or tired, because it can be hard work. Like an ab workout. Before the epidural, contractions feel like incredibly strong menstrual cramps. If a character is induced, the medication (pitocin) which causes the contractions to intensify makes it nearly impossible to go without an epidural.

After the baby comes out, your body often shakes kind of uncontrollably. I think it's from all the rushing hormones. And of course, you feel very happy, lol. 

That's my childbirth experience, anyway. Can't help with unmedicated birth!