Image attached. Looking for exact font (not "Whiskey" font)
Willing to pay if it exists.

It is for a one-off use, on a tattoo, not a sellable item or anything like that.

Engravers Roman  Vorgeschlagen von Heron2001 
Old Bob Junior  Vorgeschlagen von graphoto 
Homero  Vorgeschlagen von Bruno Servina 

I have that strange feeling it was designed just for them. That "J" is so similar to Engravers Roman -- but it isn't...

Probably NOT A FONT.

Don't know if the proprietors of Jameson have made the logo into a font but this version of the brand logo (obsolete?) has been produced in Encapsulated PostScript (EPS) format, which might be usable for making a tattoo.
I have not included a download link
The current logo is shown at https://www.jamesonwhiskey.com/

I was looking for the Jameson Whiskey font as well. Here is a similar font: Old Bob Junior free Whiskey font from Dafont https://www.dafont.com/old-bob-junior.font

Guys here you go for the Jameson® font
The name of the font is SSHomeroDemo
Cheers