The title of the episode is from the chorus of pop singer Helen Reddy's 1972 song "I Am Woman".
The monsters shown on the island in the timeshare are from the book Where the Wild Things Are.
In the bus, Peter says to the women "I'll be Charlie, and you can all be my angels." This is a reference to the film and television series Charlie's Angels. Peter then points at a fat woman and tells her "Except for you. You can be Bosley," referring to Charlie's male assistant, Bosley.
The pain of childbirth being "taking your bottom lip and pulling it over your head," is very similar to Bill Cosby's standup routine about his first child and what he and his wife went through in the delivery room.
During the catfight between Lois and Gloria, a baker came out of the kitchen carrying ten banana cream pies and singing, "Ten banana cream pies!" He was then knocked down by Lois and Gloria’s fighting. This is a reference to the old "falling baker" films from Sesame Street that aired in the 1970s and 1980s.
The cutaway gag where Peter is in the net surrounded by apes parodies a scene from the 1968 version of Planet of the Apes.
Peter "buying" Tibet and calling China, saying he wants all of their tea in exchange for Tibet, is a reference to the expression, "I wouldn't trade it for all the tea in China."