I actually quite like it. I think I might slightly prefer
Martina, but that's probably because I tend to like 'a' endings. I'd never even noticed the connection between martini and
Martine before you pointed it out. I associate it with the English actress
Martine McCutcheon (who was in
Love Actually, if you've seen it).
But anyway. It is rather lovely. And could work on anyone, from baby to old woman.