it is wrong! And this is why (from wiki):
While the original pronunciation from the word's
German origin is "fook-sya" /ˈfʊksja/, most English speakers tend to say "fyew'sha" /ˈfjuːʃə/. As a result, the word is often subjected to misspellings such as "fushcia" or "fuschia". In English, the other acceptable pronunciation is "fyewk'see-ah", which is somewhat truer to the word's origin.
I dunno if you care for it, but I really wouldn't use a wrongly spelled word as a name. By the way, Fuchs means "fox" in
German.
But I do like Fuchsia :) I think it works better as a middle name though, so
Nicole Fuchsia. Then it's really beautiful. As a first name it's too much of a word to me, since it doesn't seem to be as well established as
Scarlet or
Violet. Also it seems to be an easy-to-make-fun-of-name, as others mentioned already.