It would take some doing, I suspect, to notice the difference in this second attempt at processing my eclipse sequence but it is there. I started from the raw files instead of from jpegs and I was much more careful with the way I selected the solar disks from the frames and copied them into the final composite. This is much more satisfactory.
I have been debating whether or not to darken the center of the sun to make it more as it would have appeared on the day. I'm still not sure if that would be acceptable.