I've looked through the PGCC booklet 'From Flint Glass to Art Glass - The History of Greener & Co.' and the only 'fanciful name that I can see is 'shell and chain' on page 11 for Greener & Co.'s RD 113896 of 15 November 1888 (and even that is basically just a descriptive name for the decorative pattern, used incidentally by Jenny Thompson and presumably taken from the original design registration details at TNA). There are, however, many more PGCC publications to check through over time.
I see that The Premier Antiques website at
https://www.premierantiques.co.uk/greener-glass-22-c.aspshows a selection of "Greener" coloured glassware, to some of which it attributes various pattern names -"known to collectors as"... - but with no specific details as the original source of those names.
In addition to 'Bridesmaid' for an unmarked opalescent blue oval glass dish as in the opening post of this thread, they attribute the same pattern name for a pair of purple marbled glass salts with the Henry Greener '1st lion' trademark of 1875-1885.
They also use:
'Beaded Button Arches' for Greener & Co.'s RD 304505 of 3 September 1897 "because of the curving arched design" (fair enough);
'Contessa' for Greener & Co.'s RD 160244 of 3 November 1890;
'Queen's' for Greener & Co.'s RD 176239 of 10 August 1891;
'Royal Jubilee' for a pair of unmarked blue opalescent baskets with beaded ribbed patterned sides and curling scrolls at each end (which are normally attributed to Greener & Co. because of stylistic similarities to other Greener patterns but are still awaiting definitive documentary attribution);
'Triangle' for an unmarked blue opalescent triangular spill vase superficially similar to Sowerby's pattern 1224 spill vase from the Sowerby RD 310595 of 31 May 1877 - Parcel 9;
'Scrolling flower' for an unmarked "footed bowl in turquoise blue translucent glass with veins of marbling in white. Moulded with flowers and scrolling tendrils". Putatively dated to about 1880.
Fred.