Looking for a name of the manga

I read a manga a while back which I think has or hasnt been taken down. I goes abit like this. It starts with a guy going to a small town and ended up staying at an inn with an old lady who has amnesia I guess but she thinks it’s her grandson. He stumbled upon a guy who was kind of running away from being caught by the cops from being accused of a murder he may or may not have done. The guy took the “criminal” back to the inn and ended up having sex and falling in love with each other. Thats all I remember. Does anyone know the tittle to that manga?