If my spouse and I are getting a divorce, can I hold her liable for the debts that are on my name?

If you and your spouse reach an agreement with regards to the payment of debt, the agreement will be binding but only between yourselves. In other words, your spouse can agree to pay a debt that is in your name and you would have a right of recourse against him/her if he/she reneges on this agreement, but such an agreement does not bind your creditor and your creditor still has the right to enforce collection proceedings against you.