Name opinion

So we decided on the name Reese for our baby girl. I am having trouble with the middle name... I really want it to be Jean. It is my middle name, my moms middle name, was my husbands grandmas name, and a some other family members on his sides name so it is meaningful. I just don't know about the first and middle name being one syllable... Nobody really says middle names so do you think it matters? It is more meaningful than anything. Reese Jean?