Fun Boy Name Challenge

In today's Christmas card, one family challenged us to help name their baby boy. They have a daughter with the same initial as mom, and inadvertently discovered after she was born and named, that she had all the letters of Dad's name included in her name.

Now they are expecting a baby boy, and they'd like it to have dad's initial, and, if possible all the letters of mom's name.

R is Dad's initial. Bridget is Mom's name.

Annnnnnnd Go!