Wandering if, when you accepted a House Sup position, did you receive additional compensation? If so how much increase from your previous salary? What position did you have before becoming a HS?
I was a med-surg floor nurse and got exactly ZERO dollars increase upon taking on the additional responsibility.
You should be able to request a salary review from HR. Sometimes depending on how much you were making as a floor nurse, the supervisors may actually make less. As a manager I have had employees that have been working with the company for a number of years who have had hourly rates comparable to my own. Supervisors also have different responsibilities depending on the organization. Some just strictly handle in house issues on a particular shift and some organizations require them to have additional responsibilities outside of that shift. A salary review from HR would be your best bet.