morningcloud - 9/10, a good and fitting name. for this cat I'd say she's more of a -flower, though, but -cloud could work just fine.
foxtail - 10/10, a great name and works for the cat just as perfectly.
brightsky - 7/10, I'd more recommend bright- for a white or calico cat, although this does work. I'm not too fond of -sky though, and if the cat has no real obvious skills or personality traits, then I'd say just use -fur or -pelt. the only reason I wouldn't recommend -tail is that there would be double letters, and that's never a great thing to have in a name, eheheh.
falconclaw - 10/10, great and fits great. I like your names.
(oh, and if any name I use was previously used in one of the books, please don't take off points, even for "originality." to be honest, I can't keep track of all the names and cats anymore, and I still just pick names that fit. there are only so many combinations without resorting to silly names!)
tansycloud - golden she-cat, seems a bit ditzy to most but she has serious smarts behind her soft exterior.
squirrelfang - dark ginger tom, excellent in both hunting and battle.