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I send a book to the address it said and it got return to me and I sent a message to the person and she said oh sorry that's not my address, and she still has the wrong address on the site. Should I ask for a credit?
Yes, definitely use the "contact us" link at the bottom of this page to send a note to the PBS team about it. Copy/paste that PM from the other member there although they can see the PM if they want to.
I found this over in the Help docs:
It is the requestor's responsibility to provide a correct, dependable address to senders.
Looks like you don't have to re-send them the book. It'd be nice, since it was their error, if they gave you a credit for the postage you spent. Doesn't look like they have to though.