Short answer: No — the question is likely based on a misunderstanding or mixed-up names.

Explanation:

• Wolfgang Amadeus Mozart (1756–1791) wrote the opera The Marriage of Figaro (Le nozze di Figaro, 1786), whose central character is Figaro, a barber. Figaro is a famous Mozart opera, but we have no reliable evidence that it was Mozart’s personal favourite — composers rarely recorded a single “favourite” of their own works in a way that survives.
• There is no well-known composer or historical figure named “Saville Mozart.” If you meant Wolfgang Amadeus Mozart, then “the barber” (Figaro) is one of his masterpieces but not documented as his favourite.
• If you meant another person (for example someone named Saville) who admired Mozart, please clarify and I can check whether Figaro was that person’s favourite.

References:

• Mozart, W. A., Le nozze di Figaro (1786) — synopsis and historical reception. See general histories of Mozart and his operas, e.g. Stanley Sadie, The New Grove Dictionary of Opera; H. C. Robbins Landon, Mozart: The Golden Years.