Would you name your baby the same name as his or her cousin?

My husband and I have had our baby names picked out since we got engaged 6 years ago. One of his sisters had a baby in July and we found out after she delivered that she used the same first name. We don't see his family often- maybe once every few months- and we don't live near the rest of his family. If you loved a name and another family member used it, would you use it? I don't want to start any drama, but we love the name so much and we know the kids would only see each other a few times a year. What would you do?