First, make sure your expectations are in line with reality. I recently talked with a new college grad that was pissed he wasn't getting $150-200k base offers, he's an idiot. Not saying you are, but make sure your expectations are lined up with reality. If they are, and you were lowballed then either go back with a realistic number showing them you know your value or move on.
Companies will try to take advantage of people who don't value themselves enough because if the person is happy to make 100k even though their peers are making 120k then most companies will try to make that happen. They aren't going to give you 120k just cause others already make it. Usually their range for a position will be broad so they can play these games.
In the end never accept a lowball offer just cause of the name of a company, you'll never get the value out of the name brand if they don't pay you it in compensation.