She seems to be a possessed actual umbrella, although Tsukumogami are usually just interested in being used for their purpose or else getting revenge on those who mistreat them...
One day, when I got caught by a sudden rainfall,Excuse me,I really was in trouble so I ended up using herIf you need help, please feel free to use me.An umbrella talked to me.Oh man...but is it really okay to be using this umbrella?