No start condition on 1969 L46 Corvette

[Dave Rifkin]

This afternoon I decide to take my 1969 L46 Corvette out for a little spin. I disconnect the C-Tek battery charger from the battery, turn the key and the car barely turns over. I try again with the same results. Just for the heck of it I reconnect the charger and, from the looks of the indicator lights, the battery is fully charged. I try to start the car again; nothing except this time the car seems to show signs of added juice when I back off the key. For instance, when I turn the key all the way to start the car I get the sluggish to nearly dead battery condition. As I back the key off as if I was going to return to the off position, the ignition kind of jumps to life for a split second.

The car is equipped with the factory TI system if that makes a difference; anyone have any suggestions what might be causing this to happen.
I don't drive the car all that often; the last time was a few weeks ago and I thought it was starting kind of funny at that time; almost as if the timing was off.