Trying to think what this jig is called?

It’s kind of like the Killavil, but not. Adding insult to injury it’s dead common.
BEE BEE | F#EF# DF#A | BEE BEE | ABC# DC#D |

The Tenpenny Bit, in Em(Edor).
https://thesession.org/tunes/109

Thought of that one first, its a better fit than the Killavil but the end of the A-part and the b-part are different.

It’s also entirely possible this is senility and wrong-b-part-itis on my part…

It’s not the Lilting Banshee in an unusual key, is it? It’s the only thing I can think of with that sort of pattern, but as it’s normally played in A, it’s a long shot!

With only the first four bars to go on, my wager would be on Ingonish: https://thesession.org/tunes/780.

What Rick said, it’s the Tenpenny Bit in Edor:

Ador: eAA eAA|BAB GBd|eAA eAA|def gfg →
Edor: BEE BEE |FEF DFA|BEE BEE|ABc dcd|

Not that it’s commonly played in Edor, but there is one setting here:
https://thesession.org/tunes/109#setting27514