The unfortunate congressman is Blake Farenthold (R-TX). According the various MSM sources (I read it in this post), the rep was explaining that impeachment would pass in the House and go down to defeat in the Senate, so it didn't make sense to do it.
Hotair has a somewhat different take:
That sounds more plausible than the MSM take. Nonetheless, conservatives are having to walk back expectations of the outer right, expectations such as imminent impeachment or the shutting down of Obamacare, which just aren't going to happen.Farenthold’s not floating impeachment, he’s just trying to make a Birther go away. This is his way of appeasing her.
It's good that some GOP reps are trying to cool down the crazy, but there's a hell of a lot of it out there. I doubt this effort will be enough. The outer right has been fed fairly extreme rhetoric for four years now. The sentiments that have been built up aren't going to change in just 2-3 months. I expect sparks to fly this fall.
Update 8/22/13. It isn't news, but another Republican congressman had to disappoint a constituent demanding that Obama be impeached. This congressman says that it would be a "dream come true" if he could do it, but dang, there's no evidence. Too bad he doesn't ask where are these false expectations came from.