Well if anyone makes a diaper run it'll be Glen and Maggie since they're the token gofers of the group.
That Hershel didn't die of shock when his leg was getting chopped off (amputation implies a controlled situation) is a miracle. An impromptu c-section out in the field is extraordinarily dangerous. It's why Carol wanted to practice before hand if Hershel wasn't available. Normally you'd only need a small incision to do a c-section, just large enough to allow a baby's shoulders to fit through the opening created.
Lori likely died of blood loss as a lot of women centuries ago did due to vaginal tearing as the baby's head crowned. The pelvis bone of a woman is designed to expand to allow passage of the infant, but the vagina is not, thus the pain is from the tearing of the tissue which of course results in large blood loss unless it's stopped. It's why doctors stitch back up and do all the other stuff during delivery. I've only witnessed one live birthing (was in an elevator with a woman who was enroute to the hospital from her office-job and the birth was rushed - as they sometimes are), it's bloody, messy and yeah I understood then why a lot of husbands pass out when witnessing their wife giving birth.
Anyway, without proper medical facilities and training/experience a woman's chances of survival during child-birth drops dramatically. It's possible but by a slim margin.
No medical expert here, but I think she was already bleeding out BEFORE the c-sect. So, take a stressed out, bleeding body, no coagulants and nice supportive therapy of modern medicine, shock, pain, questionable pre-natal care. . .
Pretty much it was a death sentence.
What she said.