Can't remember the name of a manga about a very poor girl who refers to herself as "trash". She accidentally injures a really kind "high class" guy and as repayment starts making food for him. At the end of the first chapter, she ends up living with him when her parents move away to the country.

Try this one Boku no Ie ni Oide it might be it. Also, you should give Boku wa Ookami a chance its by the same author.