What does Remy mean?
From the French Remigius, linked to the Latin remex, “oarsman.”
What does Bellamy mean?
From Old French bel ami 'beautiful/fine friend' (bel from Latin bellus 'beautiful' + ami 'friend'). NOTE: 'beautiful' here modifies 'friend' (a fine or handsome companion) rather than naming beauty outright, but the bellus root is explicit.