Yume Nisshi (夢日誌)/theories

Pholus and Trisha
Usotsuki was in love with Pholus, despite it being unrequited. Pholus was more interested in caring for his younger sister, Trisha. Trisha saw Usotsuki as a type of older sister, and enjoyed being with her. Pholus disliked this and saw Usotsuki as a bad influence towards his sister. (Porcelain Doll effect having a positive reaction with Trisha but not with Pholus)

Usotsuki eventually realizes that Pholus has no interest in her, and decides to kill Trisha in order to steal his attention. Enraged by this, Pholus gives chase.

Usotsuki is not a real name
According to the meaning of the name Usotsuki may be called differently, the name that we know is may be as her nickname.

The Dolls World
In the Dolls World, you see many dolls with broken faces, and scattered limbs - the background also seems to look like an eye. I believe this could be referencing how in the past, Urotsuki had dolls but used to tear them apart and break away their limbs and face. This is also seen with the doll with the bloody face - which leads me to my theory that Urotsuki used the dolls to vent her frustrations out against people. The doll didn't really have a bloody face, Urotsuki was just imagining it to have one as she damaged it in order to help herself feel better when she was angry at someone.