We consider the problem of quantizing a Skyrmion which is allowed to vibrate, rotate and isorotate.Previous approaches have neglected the interactions between vibrations and zero modes Tooth (analogous to so-called Coriolis terms in the molecular physics Outdoor Counter Table literature).A new formalism incorporating these interactions is introduced, inspired by a principal bundle approach to deformable-body dynamics.We quantize the B=4 and B=7 Skyrmions and compare the results to observed nuclear properties of Helium-4 and the Lithium-7/Beryllium-7 isospin doublet.