Thank you for showing this, Mike, but I think you have given the wrong link to the Glass Queries Gallery (its shows the lozenge for Sowerby RD 345044 of 9 January 1880).
I think you mean
http://glassgallery.yobunny.org.uk/displayimage.php?pos=-15255and the adjacent thumbnails.
Particularly nice to have the bowl and lid.
Greener & Co. RD 113896 was registered on 15 November 1888. Thompson (page 15) describes it as “shell and chain effect” so presumably the design registration was for the pattern rather than the shape.
Fred.