Period After Double Quotes & Sayings

I'll tell you if you tell me," I say, washing my hands of maturity. I'm tired of the double standard-she keeps secrets, but I'm not allowed. Also, I'm tired, period. I need sleep. Which means I need answers.
"What do you mean? Tell you what?"
"I'll tell you what we were really doing out there. After you tell me who my real parents are." There, I opened it. A chunky can of wiggling worms.
She laughs, just like I expect her to. "Are you serious?"
I nod. "I know I'm adopted. I want to know how. Why. When."
She laughs again, but there's something false in it, as if it wasn't her first reaction. "So that's what this is about? You're rebelling because you think you're adopted? Why on earth would you think that?"
I fold my hands in front of me on the table. "Look at me. We both know I'm different. I don't look like you or Dad."
"That's not true. You have my chin and mouth. And there's no disinheriting the McIntosh nose. — Anna Banks