Thanks for digging up that Physician's catalog Picture, Neal!! I notice my knife does not have rattail bolsters and is only 3 1/4" long!!
Is there a smaller knife pictured nearby??
CC
That's the only J. Rodgers example I could find easily. Those small physicians models were quite popular and commonly advertised in the early 1900s.
Here is a Sheffield-made variation from A.J. Jordan with a spatula secondary blade from around the same time period as your nice Rodgers model.










