Refactoring tests, test with !allow_renumbering
Refactoring tests, test with !allow_renumbering

This exposes the bugs fixed by #2480 - the broken cases now fail if I
don't have that patch included.

roystgnr/libmesh,roystgnr/libmesh,roystgnr/libmesh,libMesh/libmesh,jwpeterson/libmesh,dschwen/libmesh,libMesh/libmesh,jwpeterson/libmesh,jwpeterson/libmesh,libMesh/libmesh,dschwen/libmesh,BalticPinguin/libmesh,roystgnr/libmesh,BalticPinguin/libmesh,BalticPinguin/libmesh,dschwen/libmesh,libMesh/libmesh,roystgnr/libmesh,BalticPinguin/libmesh,jwpeterson/libmesh,jwpeterson/libmesh,dschwen/libmesh,roystgnr/libmesh,BalticPinguin/libmesh,roystgnr/libmesh,dschwen/libmesh,jwpeterson/libmesh,libMesh/libmesh,dschwen/libmesh,dschwen/libmesh,BalticPinguin/libmesh,BalticPinguin/libmesh,BalticPinguin/libmesh,dschwen/libmesh,roystgnr/libmesh,jwpeterson/libmesh,libMesh/libmesh,libMesh/libmesh,jwpeterson/libmesh,libMesh/libmesh