The title is a take-off of W. Somerset Maugham's book 'Of Human Bondage', which was subsequently made into a movie (3 times) - Of Human Bondage (1934), Of Human Bondage (1946), and Of Human Bondage (1964).
Although rival studio Disney's animated Cinderella had been released fifteen years prior (1950), the notion of a fairy godmother (or godfather) had become a popular plot element in movies as well as television, seen here.
The potion/concoction (created by Jerry's Fairy God-Mouse) & given to Jerry, lasts 105 seconds, equaling 1:45, one minute & 45 seconds.