[B. Dudley]

I was at Turnbulls last week and was looking through the selection of Parker roll stamps that they have and saw one that was very interesting. I double checked The Parker Story and there is no mention of it. And i have not seen a gun with it yet.
It is a short legend that simply reads "THE PARKER BROTHERS GUN". With the typical arrows at each end of it.

Has anyone seen this mark on a gun or know when it may have been used?