Same situation as described in proz.com's scam alert center: received over payment check in excess of $2,700...it was kind of obviously a scam. I turned the check over to my bank to alert them the check was cut on an account there. Turns out my bank was delighted I brought it to their attention - they have a department dedicated to tracking fraud/scam transactions.
My hope is this individual will not take any further action against my name, because, alas, I did send "her" my address for payment, thinking at the outset it was a legitimate request for a translation. I have no idea what this person could do apart from send me awful things in the mail.
I agree with Willem that you did the right thing with the checks, and that you should expect no further actions from the scammers.
My advise would be to make sure, when new unknown parties approach you with commercial offers, to get verifiable contact information, and to verify it. Risk management can be done only before you spend time and/or money. After that you can only perform damage control.