It could be possible that Leia is the only one who knows that Rey is part of the Solo/Skywalker family, and she didn't realize this until the end of the movie when the Falcon lands back at the Resistance base. They hugged each other so strong it would seem that there had do have been some kind of history there.

So Rey could have been born after Han left so he never knew her. Maybe right after she was born she was put into hiding or went off to train with Luke. I'm not sure of the timeline in terms of when the Jedi Academy attack happened, or the ages.