Moabite has a good starting point. Talk to her and explain the problem. Then if she doesn't listen, offer her a gift of a live trapped coon on her front porch, and promise her that you will bring her ever single one that you trapped to visit her until she stops feeding them.
But seriously, I think the suggestion of contact your game warden and using official lines to handle this is a good way to go, as well as the fire safety people from the county to inspect where she is burning. By the way, that smoke could harm your bees, so be careful there. Besides, it sounds like she isn't above killing your bees either if you put them too close.
In the meantime, borrow a coonhound to put in the backyard to keep those coon out of your yard. They can help with critter control AND neighbor control.
I got some Longcrowers as extras this spring, and friend took them off my hands so he could annoy is complaining neighbors (his chickens were there LONG before said neighbors).
We have neighbors that are not very friendly either, but they don't do anything mean or stupid like yours.
Good luck.
If you do find a tactful way of retaliating, or if it isn't very tactful even
, please remember to share.