Curiouser and curiouser...

I asked recently if anyone could help me out with a discrepancy regarding cloud stitch in Crewel Embroidery, edited by F. Anderson:


Julie left a comment saying she knows this as cloud stitch. Celia said Jan Beaney calls this wave stitch in her book, Stitches: New Approaches. And Suz looked it up in Mary Webb's book, Embroidery Stitches (2006), where it's referred to as open wave stitch.

So I went searching again, and these are the results I've come up with:
Sharon B’s cloud filling stitch:


Sharon B's wave stitch:


Country Bumpkin’s wave filling stitch in A-Z of Embroidery Stitches 2:


My mom's friend Fiona scanned in cloud filling stitch from one of her older books for me, although I have no idea of the title or author:


Needlecrafter.com has four stitches:

Cloud filling, also known as Mexican stitch:


Wave stitch filling, also known as straight-line stitch and a variation of arrowhead stitch:


Open wave stitch, which is related to cloud stitch and closed wave stitch:


And closed wave stitch, also known as looped shading stitch:


Henryart.org says “don’t confuse wave stitch filling with wave filling stitch".

Wave stitch:


Wave stitch filling:


Wave filling stitch:


So the plot thickens. I’d really like to get to the bottom of this, because I’m keen to use my original cloud stitch in a design sometime. Actually, I’d like to use both of these stitches. But I can’t really unless I know for sure which stitch to put in the instructions.

As far as I can work out, there are two stitches here – wave stitch and cloud stitch. Wave stitch is Henry Art's wave stitch, which is used to create wave stitch filling. Then cloud stitch is the same as wave filling stitch, which includes open and closed wave stitch. And cloud filling stitch is simply a variation.

Anyone agree? Disagree? Have another stitch to throw in the works?