The phrase "to give birth in a hospital" means having a baby in a healthcare facility where doctors and nurses can help during the process of delivery. Full definition
She figured giving birth in a hospital with doctors and medicine right there was all she had to worry about for herself. (skepticalob.com)
I didn't want to give birth at home, but our finances could not handle the cost of giving birth in a hospital if there were other options. (attachmentparenting.org)
One of the advantages of giving birth in a hospital setting, is someone else must deal with the disposal of the placenta. (babygaga.com)