In Nancy Drew: The Secret of Shadow Ranch, Nancy finds a second pocket watch matching Meryl Humber’s pocket watch. This belongs to Francis, his daughter. It is found in Mary’s trunk in her store. Using the key (found with Meryl’s watch) to open it, notice that the odd numbers are buttons that can be pressed. Press them so they all stay down.
Every time you enter this puzzle, the sequence changes. You’ll have to guess and check, but you can write down the numbers in case you forget the sequence.
In this instance, I discover the sequence to be 9-11-1-3-7-5.