The path the old full-sized Galileo shuttlecraft prop has taken since Star Trek finished production back in 1969 is been a convoluted path. After changing hands a couple of times and remaining mostly in California, it was bought by Ms. Lynne Miller in 1989 and shipped by train to her home in Ohio where some restoration efforts then began.
To make a long story short, Ms. Miller is now selling the Galileo. Details are here:
Read more about the history of the shuttlcraft here: