That is good solid data and that makes it "small" indeed. Sooo next set of questions, what feed are they getting and what's the water source. Read on BYC some long time ago that the watering is more essential to the eggs than the feed, because eggs are made of such a big percentage of water....I weighed the eggs and they come in at 1.5 oz.
I had three CLs at POL that I bought from someone on Craig's list - and I think that their developmental growth didn't supply them with all the nutrition they needed....of those three only 1 was successful at laying eggs.
My current chicks - hatched at Christmas are ginormous - over 2# already big, big for chicks...Regarding my others, Now I think I may have too much protein in my chicken's feed - my old ladies are starting to kind of waddle when they walk...Maybe too that is partly why the yolks are so big. My CL hens seem just about right, and they are a good weight for a layer...their eggs are about 2oz.
IMO - the CL does lay a smaller egg compared to say an EE or a Golden Comet here...they were both jumbo layers... It could be the newness of the breed, that they are smaller than their best desired weight and some folks hatching from pullet eggs..which may tend to create a smaller grown chicken - just surmising here. In subsequent generations it could be that the egg sizes will increase..and the egg size will probably be a bit bigger after the first molt. --
Lately the performance aspect of the breed has sort of taken a back seat to other characteristics, so I'm really glad that you brought this up so it can get some focus. Did you say that they have been laying for awhile now? -- So the other question is frequency of eggs. I think I would almost prefer a daily layer even if the eggs are small, and work on increasing the size of eggs.