Lily Borden is Ty Borden's Mother. She was Married to Brad Borden who passed away a few seasons ago. Lily Borden is also married to Wade Dalton who abused Ty when he was a kid, he has such come to his senses after he divorces and re-married Lily. In season 8, Ty figures out that Lily had become an alcoholic again and had only visited her a few times since.
In season 11, Lily came up to visit Ty and Amy, since they had Lyndy, her new grandaughter. Ty was skeptical because he didn't trust her or feel safe leaving Lyndy with her, but eventually appreciated Lily who even gave Lyndy a "Lambie", a toy blanket that gets her to fall asleep.