I don't believe it is a cherry.
If you look closely at the "teeth", they appear squarish, and not too sharp. I think it is used to ream or scrape the fouling out of the patent breech recess after the breech is removed with the hut wrench.
I have seen reference in original documents going well back into the 18th century for "britch scrapers", which were affixed to the end of a loading rod or wiping stick to remove the built up fouling from the face of the breech plug. I don't think the fouling went away in the percussion era.
The tool with the worn black handle looks more like some sort of wood carving tool to me. I've never come across a gun case tool like it (not that I've seen all of them!)
