The shooting happened at about 11 p.m. in the parking lot of a church on Edgebrook near the Gulf Freeway.
It appears a Malibu pulled up next to a white car in the parking lot and there was a shootout between the two.
Police said the suspect fled and the people in the Malibu were pulled over a block from the scene.
"There were three individuals inside the car. One of the individuals was a man who was shot in the back and has been transported to Clear Lake Regional Hospital," HPD Cmdr. Caroleta Johnson said.
A total of three people were shot, including a woman believed to be an an employee at the taqueria, who was shot in the eye.
Another woman was shot in the hand, and a man riding in the back of the car was also shot, according to police.
All three are expected to be OK.
Police are still working to determine what exactly happened.