The Vauxitans are a nickname for Dan's species. This nickname was given by the TARDIS while shooting down Dan's idea to just call them "My lads". When it comes to it though you're more likely to hear them called "Dan's lads". Their real name is not actually known based upon the fact the two Vauxitans (Dan and Equinox) don't know it.
Vauxia was originally covered in forests, small lava lands along with some green land and some ice parts. Sea in between different continents and islands. Very much like earth but yet so different at the same time too.