"Well I'm definitely not Jefferson." He hopes. With all the holes in his memory, maybe he is Jefferson. Of course, if he is, that probably means he killed someone she knew, so he's really hoping he isn't that Jefferson guy. The only reason HYDRA would have sent him to get close to someone is if they wanted him to kill someone near them.

Getting recognized doesn't tend to be a positive thing in Bucky's life lately.

"My name's Bucky."

He angles himself so she can't see his left hand. Most people remember a metal arm before they remember a face.