Nope.
Consult the atx spec at formfactors.org. Failing that, photograph the motherboard and put it up here and we can probably tell by looking at it if you're in luck or not.
It would probably be better to get a new case as well really, mesh boxes are not famous for being sensibly laid out.
As far as standards go, any atx complient motheboard will fit in any atx complient case which will hold any atx complient psu. Standards are good, but occasionally ignored. Not sure if mesh would adhere to them or not, I imagine sometimes they do and sometimes they dont.