I am pretty sure I would. Tibbe's got a short muzzle and "smiley" mouth. He is bowlegged in front, stands with his elbows out at times and has a very short stub of a tail, much shorter than most Yorkies & practically never wags it unless he's playbiting me or being played with very, very roughly and he's kind of hyper - the ONLY times he wags that tiny tail. If somebody told me they had a dog with a tail that wagged constantly, I would almost certainly KNOW it wasn't Tibbe! Plus, I have close-up photos of the moles or dark spots on his tummy and know just where all of them are placed. He's also got a vestigial dew claw on the right foreleg which would further identify him and of course, he's chipped. Hopefully, I never have to identify him this way, though!
Thank the Lord those people had a responsible dog-lover who found their baby!