Hi Jim3thornton,
According to my knowledge, it is not possible as Revit's title block families only contains labels for sheets, not rooms. I would recommend creating a View List schedule showing the sheet name and view names. Even though one can only change the View Names through the schedule, and not visa-versa, it should make the vetting of your stair views to which sheet they have been placed on a bit easier.

It could (And I'm definitely not an expert on this) be possible using Dynamo? Maybe some of the Dynamo experts could provide some insight?
Herman
http://revitrecess.blogspot.com/