Question - the batting. Is it:
1) that he asking for more? Does she stop petting, he bats her - and then she pets some more?
Or is it
2) that she stops petting and he bats her and then moves along?
Or is it
3) that she pets him, he bats her to let her know it's enough and moves along?
If it's #1, I think she should discourage this by petting him and when he bats her, she stops petting him.
If it's #2 or 3, she should try petting him for a shorter period of time so that she doesn't get batted.
The problem is when cats use their claws or teeth on people, they are communicating in cat language and don't necessarily realize they are hurting us. We have to help them learn how to "properly" interact with us. So just like it can be so much fun to play with a kitten with your hands or feet - it is a huge no-no, because kitty won't learn that hands and feet should not be bitten or swatted at. He didn't get this lesson as a kitten - but still needs to learn it, even though in Becky's mind this is not the same as "playing with her hands."
He needs to learn that when he bats with claws out, he gets no more attention. I know she enjoys it, and we all completely and totally understand that.
But he will not learn NOT to use his claws if no one "tells" him not to. This is more important in the long run - especially if you're thinking of actually bringing him inside at some point.
That is... if Sasha will ever let you.
Is he still hissing at the sock that smells like Marlow?