We received a levy request from general sessions court that listed the customers social security number and account number. The levy attaches to every account the customer has and not just that one account correct?

Yours is a state law question. Your profile does not say what state you are from or I would move your post to that forum...

I'm from Tennessee

Read the levy. If it says nothing more than what you said and you tap every account with the same name/TIN combination, your customer's attorney will say you did not follow the instructions you were given. Your attorney will respond saying that the customer owed the money and you paid the money; i.e. your customer is not hurt.

Give your attorney the opportunity to express his or her opinion before you do anything.