Leonardo of Pisa is best known as Fibonacci; various stories found in books and on the web claim that the name Fibonacci was invented by Edouard Lucas or Guillaume Libri in the 19th century, and that it means "son of Bonacci" (Leonardo's father was apparently called Guglielmo Bonaccio). Heinz Lueneburg found out that the name Fibonacci had been used already by John Leslie in 1820.
Are there any facts known as to who, why and when invented the name Fibonacci? Or wasn't it invented at all?