Baby name help

Ok so the minute we found out we were having a girl we wanted to name her Madison after a very good friend of ours. Here's the problem: the last name is Davison. Does Madison Davison sound as bad as I think it does? or is it just me being paranoid and weird? I feel like it just sounds too redundant with the"ison." We tried thinking of other names but we just can't get over Madison for many reasons. Please give honest opinions of Madison Davison!