I've been in this same scenerio but on public land and I shot and killed a deer that was sure to expire shortly. I young I man came down the blood trail and when he saw me over the deer he got that depressed look. But that turned to a big grin when I told he that he could have it and I just finished him off.
normally here in PA if . You kill it it is yours. In this case though the land owner had every right to take the deer.