Do Balrogs Have Wings?

[Neithan]

but I have to ask why Morgoth would give them wings if they can't fly.

Actually Morgoth could not have given Balrogs wings because, as Maiar, they chose their own shapes. The question then becomes, why would they give themselves worthless wings when they could have, just as easily, had wings that worked?

I still hold to the theory that as Maiar, they can change their form and thus have wings if they wish

Actually the Balrogs had become incarnate in their forms and could no longer change them (if they could still change their forms then the two who met their end by falling of of cliffs would have done so to escape their fate).

That's it for me until I have a chance to look through the links provided.