Ryan Gosling and Eva Mendes have named their newborn daughter Esmeralda Amada Gosling.

Mendes gave birth to the couple's first child on September 12 in Santa Monica, California and their daughter's birth certificate was obtained by TMZ and confirmed her name.

A source told E! News that Gosling is loving fatherhood, "Ryan is very hands on. Changes diapers, rocks her to sleep – they gave her her first bath together and videotaped the whole thing."

People quote a source as saying of new mum Mendes, "She's never been happier. She and Ryan are just in awe of this beautiful person they created. It's a really special time for them."