Jill Scott is the elderly grandmother of Gunnar Scott and the late Jason Scott. She appears in the Season Five episode Speed Trap Town when Gunnar returns to Texas following his split from Scarlett.

Through a series of flashbacks it is revealed that she took over the care of her grandsons following the deaths of their parents and especially belittled Gunnar whenever he focused on his music, believing he was wasting his time focusing on it.

Towards the end of the episode, he finally has the courage to stand up to her and plays her one of his songs.