Do u know a Severus OFC fic in which the OFC has a bunch of scars made door Lucius?

i i'm looking for a fic I read a while ago, but i cannot remember a lot of the details. I think it was a Snape OC and that the OC was the new DADA teacher. I also remember that she had a lot of painfull scars made door lucius that make her feel like she was on brand to the extent that she would never light the brand of get a winter coat. Moreover at the end this gets resolved door Snape that developes a potion to close them and goes to apply it every friday. Does anybody know what fic im talking about?