If any person bound as principal or surety in any bill, note or other instrument of writing for the direct payment of money dies, any cosurety therein, or his legal representatives, may, in writing, at any time within the time limited by law for presentation of demands against estates of deceased persons, notify the person having the right of action to proceed to action in the proper tribunal to secure judgment against the estate of the deceased on account of such bill, note or other instrument aforesaid.