Wow, that's good to have a bobcat and two coyotes show within a couple of minutes of each other.
As to your question, yes, I have had both cats and coyotes in the area around the same time, but not like you did.
As to your girlfriend, well, women God love 'em. What's a guy to do!
Stay after those coyotes. We're hoping to see some good photos of the kill.