That is where mine leaked, too.
I discovered it by placing duct tape (silver, same color as the 78 so it blended well) across the chrome trim, connecting the trim and windshield with the tape to make a water barrier. Also try placing the tape over the two areas where the 3 chrome header pieces connect. This could help you narrow down your search for the cause.
I had the windshield re-set and it still didn't solve the problem.
New w/s, still leaked.
It appeared that the water would come in under the chrome trim and get into the interior molding pieces, where it would run along the center header piece and leak out at either side onto the driver and passenger laps.
Replaced the windshield when I had 78 painted, and that appeared to solve the leak.
Heidi
*I don't think this problem is typical, it is just what I experienced.
*In retrospect, most of my vette's problems and their fixes have been atypical.