I know an
Ingrid Olive, which is rather nice.
Ingrid Olive Louise would work well, I think.
Or, you might consider giving her your initials as the first letters of her two mns. Not necessarily your actual names ... but there'd be a nice link. So, if you two are
Audrey and
Janet, she could be
Ingrid Alice Joy, or
Ingrid Joan Amanda. See what I mean?