Here is the finished result of the first attempt.
Now that it is done I can see where there are too many stitches to allow it to lie flat. Even with wetting, blocking and pressing it does not sit well.
I am really looking forward to getting it right as I think it will then be a pretty doily.
I have used split chains and split rings to climb out of each row and therefore there is only one cut and hide ends at the very end!
Thank you to all who have suggested a name for this doily.