Baby girl name

We find out in one month what we are having, we are pretty set on the boy name but the girl name we can't agree on. I love the name Jillian Mackenzie but my husband wants to name her Brienne Elizabeth (yes that is brienne from game of thrones). I have tried really hard to like that name but I just can't I want to keep the J names going, my husband, our son, and my name all starts with J. I told him to think of another name he would like to call her but he just gets frustrated and won't do it, any advice?