I worked for a bigger firm which had a number of "contractor" attorneys from less than pedigreed schools. One of them pulled a rabbit out of the hat one day. He found a "smoking gun" in heaps of paper "disovery" that allowed the firm to get a new trial in a big case they had lost. All the associates thought he would be made an associate and put on scale with the rest of us -- about a 50-100% pay increase and put on a potential partner track.
I wasn't so sure. I thought they would only pay him enough that he wouldn't leave. With his less-than-impressive law school pedigree, he wasn't particularly highly sought after by better firms, so they really didn't *have* to give him any significant pay increase to keep him from going elsewhere.
All the associates (of which I was one) sat back and sort of watched the partners' treatment of the situation. Then next round of annual reviews came by and there was no significant change in that contractor's relationship with the firm. I was right. Eventually, enough of the associates were upset over this (he worked along side us like he was an associate, we thought it was unfair to treat him differently), that the firm backed off and made him an associate -- two years later. I ended up leaving the firm during this time -- not just over this matter, but it was consistent with my opinion of the firm due to other, similar events.
So, can you end up at a disadvantage coming from a less pedigreed school? Yes, you can -- and the disadvantage can last your entire career -- especially if you plan to go the "big firm" route. It doesn't have to be that way, but you'll have to work harder to overcome the disadvantage. Possible ways to overcome that include starting your own practice if you can get a couple really good clients to help you build a reputation through them or to start in a firm (big or small) to work with such clients before striking out on your own.
Anyway, that's something to think about. It may or may not be a problem for you, but I think your pedigree can make starting off easier or more difficult.