That depends. Does your group have a policy in place that all deer taken are shared with the entire group or do individuals keep their own deer? If everyone shares, your question is answered. If not, there is an unwritten rule among hunters concerning wounded deer. If the deer is still on it's feet when the killing shot is made, whoever made the killing shot gets the animal. Of course, you have to take the word of the person who made the killing shot if the deer was on it's feet or not when they pulled the trigger.
I would sit down with your group before the season starts and set out some ground rules concerning this exact thing.

ALWAYS CALL YOUR SHOT.