I have almost come to the end of my research into unearthed historical photos of the Millennium Falcon, original designation YT-1300 492727ZED from the Corellian Ship Yard archives. This series includes all my results.
Visual records show that one of the last things to be installed onto the Falcon is the cockpit canopy.
As is traditional with ships, the final step before launch was the christening of the ship by breaking a bottle of the finest Corellian Ale over the bow by a dignitary of some renown.
In a weird quirk of fate it is unknown who the renown dignitary was, but it assumed she was a dilettante, and likely a mistress of the foreman as is the (just made up by me) Corellian tradition.
For example, there is this weird note found at the bottom of the box of records that just had two faded words "Filming permit", and "Scene 7a - '/..kie.". Weird, right? If I figure out what that means I'll let you know.