There is no second signature. 9/10 (A masterclass in ludonarrative dissonance. Bring tissues and a therapist.)
Just remember: The game saves automatically when you make a covenant. causecurse -邪神の契り-
In one memorable side quest, a healer offers to remove your curse for free. But the moment she touches you, the Evil God whispers: "She is touching my property. Kill her or lose your right arm." There is no second signature