Hey criten I am stuck ,after lily started staying and i dominated her I am staying at house according to quest but it is not progressing.
Are you talking about when Lily stays at your house?
You need to stay home during the day several times (morning,afternoon,evening) and you'll get three events -
Lily gets stuck under couch, Lily cleans house and then Lily makes you breakfast.
After completing these events, you need to visit Alice and break into James house.