Lily and T-Ray

Do you guys think why T-Ray and Lily's mom were fighting. I was thinking that they were fighting for Lily. Maybe T-Ray did not want to keep Lily and neither her mom wanted to keep her, and then Lily accidentally shot her mom and T-Ray had to keep her. We can see that T-Ray doesn't like Lily and she does not like him either. I think that T-Ray made Lily's life miserable, because she made him keep her. Do you think that T-Ray will try to find her or is he happy that she left?