Thanks, again, for the good advice.
I did take it apart and put it back together six or seven times, cutting two feet of line off in the process, and it finally worked! It looks to be correctly done and symmetrical. I seized it in three places along the thimble and made sure the first tuck was the closest to thimble opening so that it is now tight and secure.
I wouldn't want my fellow sailors to think I only made a half-hearted attempt!
By the way, I also referred to "Sailing for Beginners" by Moulton
Farnham, that's we've had for years. It's an excellent source and well written too. Don't know if it's still inprint.
The mooring line is now about 15' 8". Long enough I think -- maybe even too long.