As I was winding up my research into the building of the Millennium Falcon, I came across a weird note found at the bottom of the box of records that just had two faded words "Filming permit", and "Scene 7a - '/..kie."
I also found this intriguing photo of a movie shoot.
Looking at the photo it looks like a western movie, with a human and a wookiee. Very interesting, but lacking other evidence I decided to abandon this line of inquiry and stick to construction details.
However during an archeological spelunking into the ancient libraries of Coruscant, I found an answer. It was taped to a broken down droid in a disused trash compactor with a sign that said "Beware the Rancor".
That answer is in the form of this rather distressed movie poster:
So the wookiee is Chewbacca. This means that Chewie already had experience with the Falcon long before he joined up with Han Solo.
That Chewbacca is full of surprises.