Hi Norman, I haven't had any other dumplings in the area that I would recommend. There is plenty of good food in the Triangle area (I'm saying this having lived in the SF/Bay Area), however Chinese is not well-represented.
So good I signed up for a Chowhound account just so I could post this! I almost never write reviews but, as a Chinese-American in Chapel Hill who grew up on jiaozi, I would really like to see Chirba Chirba stick around. They are a new dumpling truck with a very simple, short, and delicious menu - find out where they're parked here: http://www.chirbachirba.com/ They're worth driving to find.
I have eaten at every place in the area that has been named as having decent dumplings and I can tell you that I've only been disappointed up until now. Dumplings in the Triangle are too expensive for the number of dumplings you get (in true American fashion, they're treated as a gourmet appetizer, rather than the down-home main course that they should be), and, in most cases, are either prepackaged/frozen or made by people who don't really know an authentic Chinese dumpling. At Chirba Chirba, you get a decent number of dumplings for the price, a filling that's as good as many you'd find in China, and a succulent skin. They offer proper Chinese vinegar for sauce, and even get adventurous with an optional Pineapple salsa, which melds perfectly with their dumpling. And yes, vegetarians delight, their veggie dumpling is unbelievable and stands on its own - made by people who understand that a veggie dumpling can be every bit as satisfying as a pork dumpling, when made right.
If you're a fan of authentic Chinese dumplings, Go support these folks. You won't be disappointed.