Griffin

Personally, I think it would be a good idea to further explain the etymology of the English word 'Griffin' (sometimes also spelled as griffon and gryphon - griffoun in Middle English).

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According to Merriam Webster, the word first entered the English language via Anglo-French, as 'grif' and/or 'griffun'. Anglo-French in turn had adopted the word from Latin 'gryphus', which in turn came from Greek 'gryp-' and/or 'gryps' (or 'gryphon' or 'grypon', according to Wikipedia).

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According to other sources, Greek 'gryps' (sometimes also written as 'grups') is derived from 'grupos' (γρυπός), which means "hooked, curved" or even "hook-nosed".

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So, to make a long story short... when someone named Griffin takes his name from the mythological creature (rather than from the Welsh name Gruffudd), his name's meaning is ultimately "hooked, curved" or "hook-nosed".

It's also an English surname, inevitably derived from the mythological creature, which might constitute part of its origin.

I read somewhere that it also could be Welsh meaning prince.