Swallowtail Inn episode 1

Yuriko is running her dead husband's inn, which isn't doing too good financially, so she needs to provide customers with a special kind of service. One day, an injured man, who can't remember who he is, ends up staying in the inn. Although Yuriko, who develops feelings for him, tries to keep her extra work duties a secret, he finds out and actually helps her... helps her in becoming much better in providing the service that is. (Source: AniDB)