Lemongrass Asian Cuisine Restaurants Lemongrass Asian Cuisine 1900 Coggin Avenue Brownwood, TX 76801 (325) 203-4466 Hours: M-F 11:00 am to 4:00 pm About Map About We serve fresh Asian cuisines and drinks. Our goal is to bring unique flavors to Brownwood eatery. You have your typical rice and noodle dishes but more authentic. What's Nearby? Distance: 5 10 15 20 25 50 mi.