Would 'madam' care for a drink? = Would you care for a drink, 'madam'?
She was a bossy little 'madam'.
Dear Sir or 'Madam'
(..) Hmm? It's time to get dressed, pack and go home. Mmm. Now, come on, darling- Oh. Forgive the intrusion, madam, but you see before you a very disillusioned man. Disillusioned and with a gun. He's obviously not with the hotel. No, no. (..)1975 The Return of the Pink Panther
(..) Ah, thank you very much. Open it. Be careful. He tricked me. From the gentlemen at the bar, madam. Good evening. Monsieur Guy Gadbois... at your service. How do you do? I'm Lady Litton. Yes, I know. (..)1975 The Return of the Pink Panther