There's a "Leverage" TV show episode about a poker game in an Irish tavern. The episode ends with a little Irish music. The tune is very close to the Tennesee Waltz. Did that tune come from Ireland?

Per Wikipedia/Tennesee Waltz, Pee Wee King and Redd Stewart heard Bill Monroe's new song "Kentucky Waltz" on the radio and they created a ~Tennessee~ waltz.
   Looking up the lyrics for the Kentucky Waltz, some of it was borrowed wholesale, like the words "in that beautiful Kentucky Waltz".
   For this new song, Pee Wee used the melody of his own song, the "No Name Waltz".

So what was this No Name Waltz? Did Pee Wee get its tune somewhere? I can't find it.

Google pulls up ~a~ No Name Waltz from 1865, but I'm not at present able to read sheet music this complicated.

I can't imagine there isn't a thread here on the origins of the Tennessee Waltz, but the search engine here on Mudcat only gives me an Error 500.