Coffee rum drink recipes sought

I once read, in Larry Niven’s short story Death by Ecstasy, of some sort of coffee rum drink that the protagonist was drinking. It sounded great, I don’t even know what to call it so I can do a Google search for a recipe. Easily solved - go to the SDMB and inquire there!

So - I’ve got some newly ground espresso roast, a bottle of Appleton Jamaica rum, and a hankering for a hot coffee rum drink. Who has some suggestions?