Those are excellent drawings or tracings of the first Greener mark of circa 1880, the actual dates varying slightly according to the authority consulted.
What may be confusing is that the first mark shown on the great-glass website was certainly not drawn from the mark on an example of Greener's glass, and probably derives either from Greener's printed trademark on their company stationery or publicity, or from their trademark registration documents.
The two Greener marks are very similar, so much so that prior to the 1970s published authorities assumed that they were the same. The main difference is the star or halberd (ceremonial axe), but there are other minor differences, such as in the twisted rope at the base. A typical example of the confusion caused by the two marks is in Geoffrey Godden's excellent Antique China and Glass under Â£5
, published in 1966, where the author writes "... By 1884 â€” and possibly before â€” Henry Greener had adopted his lion crest mark. In contemporary engravings of this mark, the lion is shown holding an axe, but as the mark is very small when applied to glass the axe can very seldom be distinguished. ..."
You will find clear photographs of actual examples of these marks in Hajdamach British Glass 1800â€“1914