Mama bear I am so sorry to hear about your jack russel 
The DNR and the federal trappers told me that there has been a problem with coyotes moving into residential neighborhoods and killing small dogs and cats. I was told they LOVE to eat cats. That coyote was under my deck when sasha was attacked, I saw the blood and fur under there the other day when a big piece of lattice came off from the strong winds we had. None of the neighbors I have talked to want to help hunt this thing so I guess I am on my own. I was out in the yard til late last night with the 22 in hand hoping I would see it cross the yard but no such luck, it seems the only time I see it is when I am not armed. I know people think it was just a dog but I tell you what I went door to door to tell everyone about this so they keep their own animals safe and there was not a vicious dog anywhere, In fact most dogs are kenneled during the day and roam their property when the owners are there to keep an eye on them. Several neighbors have seen the same coyote in their yards. My cat was very large and when she needed to beat feet she could take off like you wouldn't believe. She was very tough and determined to get back to the door where she knew she would be let in. The first cat that was attacked and survived the attack is also a very tough kitty, seemed to me as soon as the yote sunk all of his teeth into sam, sam took off and got away. I took pics of his wounds but didn't get a chance to take a pic of sashas because they were sooooo bad. I really don't believe it was a dog. It may take me awhile to get it but dangit I am gonna get this sucker if it kills me!