The Swordsman and the Actress(1955)

A fellow member of the company named Hanjiro tells Koharu, an actress in a traveling theatrical troupe, about a keepsake folding fan that his lost love Lady Okyo gave him years ago. It turns out this fan is a precious clan heirloom whose possession, for convoluted reasons, will determine the clan's leadership. Sword-slinging bad guys descend to capture the fan, and Koharu embarks on a road trip to Edo to return the MacGuffin to the rightful hands of Lady Okyo.