I am having a very similar problem. I have a 2005 Tundra SR5 Access Cab. My head unit says JBL on it. However, I replaced the speakers (which had no name on them at all), and the factory amp (which was made by Panasonic).
Here is the head unit -
And here is a picture of the door showing no JBL logo on the speakers at all (unlike SuckersWalk states above?) -
I have also replaced the head unit. I am using the Scosche TA07SR adapter, as that it is the one that is needed for JBL systems. It isn't working at all, I am getting no power to my head unit (which is making me question whether I have the JBL system or not). I know that the TA07SR adapter is designed for if you want to keep the factory amp. That was my initial plan, but upon seeing how crappy it is, I swapped it out for a new one and re-wired all of the speakers to the amp.
My hope is that I could simply use the aftermarket harness on the TA07SR (without using the separate module). Given the fact that it isn't working, perhaps I'm using the wrong part and should go get a standard aftermarket harness instead.
Thoughts, o' gurus of audio/stereo?