It depends. There are like four or five items at different weight levels for Lilly.
- Cheesecake from Shadowed Curios
- Track Pants from Beth after you have enough affection from her.
- Hunger Pills from Stephanie after you have enough affection from her.
- Tube Feeder/Ice Cream Vat from Jamie after you have enough affection from her.
- Optional route: Perfect Sandwich.