What does Florence mean?
From Latin 'florens' meaning 'blossoming, flourishing' (from 'florere', to bloom) rather than literally 'flower'. Derived from the Roman name Florentius/Florentia; also associated with the Italian city.
What does Rose mean?
IS a bloom word: directly the English flower name, from Latin 'rosa' (the rose). Also used historically as a short form of Germanic names with the element 'hrod' (fame), but the enduring modern sense is the flower itself.