I could be totally wrong here, but I think the daughter is in on something, with the mother. In the scene tonight where they let her meet with her daughter, and the flashbacks to when she went to her daughter's school, both times she said the word "beautiful" to the daughter; at the school, after mouthing "I love you", she then, a beat or two, mouthed "beautiful". Then tonight when the daughter first sat down, the mother said "You're so big! Um, I mean, beautiful!!!".
And then of course the "hat" references: "When I was in jail and we were so cold, they'd often give us extra socks. But all I wanted was a *hat*". And then they show us last week's scene where the mother dropped the hat on the ground, and evidently the daughter picked it up because she had it in her bedroom and got it out and found the note. There's got to be more to that note than just face value. It's code for something. I think that the daughter is another worker for Tal, or was being trained to work with her mother, for Tal.
I'd think wonder if that was really her own daughter, except for the fact that the FBI/CIA do in-depth background checks, and they'd know whether she had a daughter or not.
Or, I'm just imagining that these things have any meaning at all. LOL
Oh, and I do think that we're going to find out that whatever her name is, the mother, was/is MUCH more trained than just what they claim she did. I don't think that everything that she observes, the glancing around, is just for dramatic effect.