I'd call her "Iris" which I think is just BEAUTIFUL for many reasons -

It's a part of the eye, which we see with

It's got the "IR" at the start like her Mama's name

And the name meaning for Iris: The girl's name Iris \i-ris\ is pronounced EYE-riss. It is of Greek origin, and its meaning is "rainbow". A flower name. Mythology: Iris was a messenger-goddess who rode rainbows between heaven and earth to deliver messages.

I think it's gorgeous

How adorable your puppies must be!! And such an amazing service they will perform! Congrats!