Looks like Tynan Coffee & Tea is open at 14th and Irving. Daily Candy has a review, which says they have wi-fi and a fireplace. There's coffee from local roaster Orinoco and lots of teas, and their menu has lots of food -- breakfast pastries, bagels, salads, sandwiches, quiche, waffles, and breakfast sandwiches and wraps. There's also wine, beer, and alcohol for coffee drinks, like Irish coffee and Amaretto. Sounds more like Cosi than Starbucks.
Sounds like a pretty cool (and locally-owned) spot to hang out and do some work or relax, especially since Starbucks is often crowded.