Name my beverage, internets!

Yesterday night, in the midst of some fairly bibulous good times with friends, I decided that what I really wanted was Irish coffee. Unfortunately, I lacked both Irish whiskey and cream. I did, however, have Pusser's Rum (medium-dark, kind of woody in a whiskeyish way) and sweetened condensed milk. What I ended up drinking was strong coffee with a shot of rum and sweetened condensed milk stirred in to taste, and it was glorious. Definitely something I'll be repeating, and as such, I need something to call it.

As far as I can tell, the closest preexisting beverage is the Pharisäer, which, like Irish coffee, is meant to have a discrete layer of cream on top, rather than mixed in.  Most other coffee-and-rum drinks contain additional liqueurs, spices, or citrus. 

Opinion questions: a) does coffee + Navy rum + sweetened condensed milk constitute a new and different tipple? and b) if so, what shall I call it?