There are six variants of the name Francesca which I can think of:
Francesca, meaning "French", is of Italian and Latin origin.
In Latin, it relates to the male name Franciscus meaning "free" - the Italian form is 'Frances', which dates back to the 13th century in honour of Francis of Assisi.
One of the most famous ladies given this name was Francesca di Rimini who was the daughter of Giovanni da Polenta, Count of Ravenna.
Some Famous Francescas include:
Francesca Annis - British Actress
Francesca Dani - The American Cosplay model
Francesca Capaldi - American child actress
Francesca Lubiani - Italian tennis player
Francesca Martinez - British comedienne
Francesca Simon - author of the "Horrid Henry" series
Francesca Battistelli - American Christian Musician
Francesca Piccinini - Italian Volleyball Player