Stop Light Problem

As I understand your story, it was raining & you came upon a traffic signal which was green, then suddenly turned yellow, then red. Instead of hitting the brakes & chancing a slide through the intersection, you went through the red light & a traffic camera snapped a pic.

First, they dont look for a name on the truck. The camera is positioned to get a pic of the licence plate on the front of the truck. They then run the plate number & send the ticket to the company which the truck is registered to. The company looks up the plate number to see what truck its on, then see who the truck is assigned to. Then they take whatever action their policy calls for.

Second, it was raining..... you should have slowed to a speed appropriate for the conditions & so you can safely stop when approaching a changing light. If your going at a speed that will allow for the conditions, you should be able to stop before the light or if your so close that you cant stop by the time it changes from green to yellow, you should be able to get completely through the light (or at least your licence plate passed the camera view) before the light turns red.

Thirdly, I will say that some cities that use these camera's do set the light to change quicker than allowed by law & you can beat that ticket.

Based on your OP, you are a new driver. Use this as a learning experience. Adjust your speed to the conditions. Raining, slow down so you don't have to hit your brakes & slide, use your brakes to slow down & stop based on the conditions.
You should know how quickly lights change from green to yellow to red. Adjust your speed to compensate for that.