It is pretty obvious to me, especially looking at the class lists for the schools I have been accepted at, that adcoms definitely favor "name brand" schools. I mean, schools like Duke, Hopkins, Yale, Cornell, Columbia etc. definitely get more love, and are better represented in the student body. Never underestimate the "oooh-ahh" prestige factor. It was also obvious that most of the admitted students from smaller/no-name colleges were in-state.
I personally went to a very well-regarded state school, and I even felt like I didn't get the same love that many other students did from a "higher-ranked" school. Its a fact of life.
One guy I knew went to one of the aforementioned big-name schools, and as an OH resident (OK stats but absolutely repulsive personality and complete lack of social skills) was accepted to every med school in OH, despite lacking any redeeming or outstanding element to his application.