This has the smallest cast of any Quantum Leap (1989) episode at only four actors: Scott Bakula (Sam Beckett), Dean Stockwell (Al Calavicci), Brooke Shields (Vanessa Foster) and Socrates Alafouzos (Nikos Stathatos).
This was Brooke Shields' first guest appearance on a television series in which she played a fictional character.
The second time that Brooke Shields has played a character stranded on a tropical island. The first time was in The Blue Lagoon (1980).
The title is based on Shakespeare's play "The Taming of the Shrew".
This episode takes place in the Central Aegean Sea on September 27, 1956 and on an uncharted island from September 28 to September 29, 1956.