Schiffer and husband Matthew Vaughn reportedly wanted to wait to make the name announcement until they introduced the baby to their families.
They kept up the "C" tradition as her other children are Caspar and Clementine.
Though I've never met (or even heard of) a Cosima, I think it's cute and a little quirky without being too out there.
It's Greek in origin and means "order, beauty," which seems fitting given that beauty is most definitely in order for the supermodel's daughter.
Do you like the name Cosima?