Help: What is getting our chickens?

Hello,
Something ate a 6 inch diameter hole through the corner of our chicken coop a couple of days ago and one chicken was missing. No feathers or anything left. After reinforcing the corners of our coop by nailing plywood on, last night something tore through the plexiglass window, then through the flyscreen, then through the chicken wire of the window, crawled through a 5" hole at the top of the window, killed and ate most of a chicken leaving the carcass this time and escaped. We set a live trap but the animal ate the meat and didn't set off the trap. It's done this twice. Any advice or suggestions. I live in rural Virginia.
Thanks!

 

Thank you. Sorry- didn't mean to post this under new member intros. I have a beautiful flock of 16 week old pullets: An English Sussex, a black Australorp (one got killed last night- did have 2), a Gold Laced Wyangotte (that was killed a couple of nights ago), a Buff Orpington, a Rhode Island Red, a White Leghorn and a brown and white little hen (not sure which breed). This was a rainbow laying mix I bought. I live on 4 acres in Earlysville, Virginia and also have 2 ducks. I am heartbroken that I've lost 2 of these beautiful birds. I run a preschool from home and the chickens and ducks are so enjoyed by the children.