No, it is in Rome and not located in the Vatican.
In modern years the Vatican is the main home for the pope. However, during the hot summer months they may live at Castel Gondolfo outside of Rome. Castel Gondolfo is considered an extraterritorial part of the Vatican.
Vatican City could most accurately be called a city-state. While it is a sovereign nation (with a full diplomatic corps - one of the oldest in existence) and observer status at the United Nations. Vatican City consists of what most know as "The Vatican," as well as Castel Sant'Angelo, some other buildings in Rome, and Castel Gandolfo on the western shore of Lake Albano, south of Rome.
Frankie Santangelo's birth name is Francesco Santangelo.
Carl Santangelo is 6' 1".
CarloVito Santangelo is 5' 11".
Claudia Santangelo is 5' 4".
Rick Santangelo is 5' 11".
Frankie Santangelo goes by Frankie.
The pope has no houses. An apartment is provided for him in the Apostolic Palace in the Vatican and a summer retreat is provided for him at Castel Gandolfo just outside of Rome.
The pope lives in the Papal Apartments in Vatican City. During the summer months he may live at Castel Gandolfo outside of Rome.
Alfred E. Santangelo was born in 1912.
Carolina Santangelo was born on August 5, 1986.