It happened to me several years back on opening day. I was shooting at a bird down the mountain from me. When I shot I got up and ran down hill looked down the bench and there were two flopping around. I never saw the other bird. I didn't know what to do, but I wasn't gonna feed the coyotes. I went to the gas station and Mr. Greenjeans was there. I got nervous because he was checking in the birds and was looking them over real good. I told him the truth and showed him both birds, he checked in both birds and gave me two permanent tags, laughed and said things happen, but they counted as 2 tags, and only left me with one more bird. (back before the REAL License system and a 4 bird bag limit).
If feel like if you had an honest 2 kill, one shot, then be honest at the checking station. Going home with an untagged bird would be more risky!