Congratulations!!!
I'm not so sure about Mush Mush as her name though.
My daughter just turned 8 weeks old and her name is Faith.
Here are some names that came to mind:
Carly
Addison
Brooke
Megan
Emily
Hannah
Laurel
Emma
Maureen
Jill
Rebecca
Marlene
Isabelle
Kathryn
Eileen
Colleen
Heather
Josephine