Same name couple doujin

I read this doujin awhile back, but I can't remeber the name of it. If I remember correctly, the guy and girl both had the same first name, they ended living together because of they're parents, and the first chapter consisted of the guy eating the girl on a stairway at school while she was talking to the gym teacher (?) If someone can find it and/or tell me the name, it would be gladly appreciated!

I think the one you are looking for is Cohabitation Alliance by Yuuki Tsumugi translated by Sling's translations. Here is a link to it.

http://slingsblog.blogspot.com/2011/03/cohabitation-alliance-complete.html

OH MY GOSH! YES!!! Thank you, thank you, thank you!!!! Thank you so much ^_^