Off on a tangent about the origin of that phrase...at the time, bathing was quite often considered a medical thing. Daily cleansing was usually done with rough cloth and water. There are various recipes for "washing water", which smelt nice and might or might not be more effective than plain water. There's also writing advising vigorous rubbing with a dry cloth for most of the body. Always water for hands and face, though.
So it's likely that the famous comment about Elizabeth I having a bath relatively frequently whether she needed it or not probably wasn't about her being unusually clean. People were generally at least quite clean in those days, especially wealthier people.