I have now finished the pattern for the square motif that can be put together to make a doily as large or small as you would like. Here is the PDF ENJOY!
Third attempt, definitely got the shape I want, but decided against using lock stitch chains. They are far too laborious! My next effort I changed the LSCs to ordinary ones, I reduced the stitches of the split rings in the row between the chains, and I have added a final row which I will post a picture of when completed.