Generally the word you use to refer to yourself is the same whether or not another person is involved. You would say "please return this to me" and you would say "please return this to Lisa and me."...
Lisa is her first name. She was born Lisa Gherardini and became Lisa del Giocondo when she got married. Mona is short for Madonna or as people would say in English: Ma'am or Madame. Lisa is Hebrew...