Can a creditor take away money from my mother’s account?

Your name is on the account so the creditor can seize anything in that account.

But I don't have a penny in this account. My mother should not suffer because of me. This is unethical. 

Yep, but it's the law.  If your name is on the account, they can take it.  The only funds that are exempt from seizure are social security, disability, etc.

If you don't like it, take your name off your mom's account.