To Mary Linton means to ask someone for favors as an outlaw while at the same time constantly berating them for being an outlaw.
Mary Linton : "Oh, Orthur, my dad and my brother are both in trouble only you as an outlaw can deal with it"
Orthur : "Hmm, I don't know"
Mary Linton: "Orthur please BE A MAN!"
Orthur: "K"
A few moments later: "Byeee Orthur you're an outlaw eww"