Tilda -- I don't like Matilda (I think of that awful Roald Dahl story), but Tilda is a classic English name in its own right, and Tilly is very cute, too.
Rosemary (Rosie) was on my list for DD.
Daisy, I just find it a bit bland. Plus, I don't like names without many obvious nickname options, so that's against it, too.