"Your name is Mary Jones. I got enough ’B.R.’ to raise you fast. You are not a thief. I don’t need a bondsman or a lip now. You don’t have a sheet.”
Here's my best guess.
"If you're caught by the cops you give your name as Mary Jones. I've got enough money put aside to pay what's needed to get you out quickly. You haven't stolen anything. I don't need anyone to guarantee the bail money, or an attorney. You don't have a criminal record."
I'm suggesting that:
"B.R." might = bank roll (thefreedictionary.com: "Gamblers, such as poker players, often refer to the money they have set aside to play as their "bank roll".)
"raise you fast" = get you out of the lock-up quickly (by paying bail or perhaps a bribe).
"a bondsman" = someone who would guarantee the bail money.
"a lip" = an attorney (thesaurus.com)
"a sheet" = a criminal record.
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