Hi Just wanted to add my experience on here. I had to undergo an emergency c/s and was lucky enough to know the midwifes in the hospital as my sister is one. My DH and sister were allowed to come into the theatre as well as the standard midwife who attends.
So I had DH holding my hand, my midwife keeping an eye on bubs, my drug man (can't spell today, the guy who gave me my spinal ) who was keeping me informed about the procedure and watching over my stats etc and my sister who was like my advocate (trying to tell me I needed a general which I didn't want but was too emotional to speak up). I also had another nurse taking photos of the surgery and bubs. After the c/s, DH went with the midwife back upstairs and my sister accompanied me to recovery with bubs for first feed.
All in all, I was pretty happy with the way it turned out. Still not happy with having to have a c/s but it was a good experience nonetheless.

I think that having someone supporting mothers in these circumstances would be really beneficial as it eases the stress already there. It would, of course, have to be done so as to not interfere with the c/s itself, recovery or staff.