@kickycan,
Yes, she's clearly lying. If she'd told you she was an accountant, doctor, lawyer, or actuary, you know she's telling the truth. After all, who'd lie and say they lived such a boring life? But a stripper! Now they live lives of action and excitement! Little girls dream of becoming a stripper when they grow up, but how many can actually live the dream?
Is brunch a good idea? Absolutely. You don't have to buy breakfast AND lunch, just brunch. The only question is, how much do you tip her afterwards?