I would call the person and make him/her aware that you would like to visit the baby. Don't mention the flowers as this unexpected gift would be a nice gesture. Also, this will let you know how the woman is feeling after delivery, which typically after a hard delivery is not a good idea but a better idea if the delivery went well, and also you would know if they are at home, in the hospital, or somewhere else.
Typically, people are happy to show off their new baby. Also, it shows that you care more if you visit in person, and at most times a short while is more than sufficient, rather than just send flowers. Of course, it depends on your relationship with the person.
So in summary,
If you feel close enough to the person in which a personal visit is not awkward for the family, call ahead, don't mention flowers, but take flowers
If you are not that close, call the person, congratulate the person, and ask if they are at home, hospital, and then send flowers.