Sia's Things

So I want to reread this manga and cannot, for the life of me, find it. Here's the summary:
There is a widower with a daughter (older man) he picks up a beaten up teen boy. This boy is abused by his his constantly drunk gambling parents and has burns and scars all over his body.
They fall in love. The teen is very good with the man's daughter and they become a family.
It's a short story, I think only 2 or 3 chapters and is in a collwction of other stories.