I have a huge one hanging off my gutter in the back yard...I used a bb gun to see if I could make a hole in the thing, but am afraid if I use my 20 gage I’ll blow out the back of the garage...too high to smoke them out, guess I will have to call Orkin GG
I recall the black marks on our cabin’s eaves for many years as a child. Not sure how the old man got rid of it, but he too was real fond of gasoline (barbeque starter, hand and tool cleanser, weed killer, ant killer, etc.)
I think it involved taking a coffee can of gas and tossing it onto the nest attached to the eaves. Then tossing a match.
Granny, granny, granny.....grab two double packs of 20’ wasp spray...put one can in each hand...unload them both onto the nest and RUN....wait 10 minutes for all the visible wasps to die off, then do it again...wait a half hour, knock it down with a stick, and burn it in the firepit...I just had to do this last week with one the size of a football... :)
Wait till dark and all the hornets are in the hive then take a heavy duty garbage bag and slip it over the nest and pull it down.
Then, if you have a neighbor you don't like, wait till later in the night, take a ladder and climb up on his roof, being careful not to make any noise then drop the hornets nest down his chimney.......
If it's as big as you say, it's likely a bald-face hornets nest and those suckers pack a wallop if they sting you. They are very territorial and will chase you down if you go near the nest.
As much as I hate to say it, they are actually good bees because they prey on those nasty yellowjackets and other unwanted garden bugs....
Run to the auto parts store and get an aerosol can of Whitewall cleaner.....magic.