As expected, nothing in the way of additional information in either the Representations book, or the Register.
Not quite sure what the insect is - possibly a cicada - but not sure......... certainly a passion for decorating with images of insects in the C19.
Suddenly realized that neither 39086 nor 41925 appear in Raymond Slack's list of Registration Nos. - the reason appears that both (although I've seen the Register for 39086 only, but quite happy to believe that same applies to 41925),
are CLASS IV, as can be seen in the attached picture.
Lattimore doesn't breakdown the post 1884 Nos., so he's no help if you want details at item level.
So, have to assume the Jenny Thompson made a point of looking at the actual Registers, thus picking up on all Registrations whether CLASS III or IV, rather than looking simply at lists for CLASS III (glass) only.
Wonder where that vase is now??
There is always some loss of definition/contrast when photographing these things, so apologies for lack of quality - but do folk agree there's a possibility that both the top and bottom rims might be metallic - they have an appearance of being a separate item from the glass.
In fact the glare seen in the pix is not my fault - the original image is in the form of a sepia photograph, and obviously the photographer appears to have been unable to avoid some amount of glare.
The Register repeats the wording we've seen already, regarding the Applicant being a 'Glass and China Manufacturers', although as will be seen from details of Rd. 41925, they are relegated to being Merchants only at a later date.
Regret there's no Kew image of the underside of the base, and since the original picture is a sepia photograph it's not possible to know if the piece was gilded in any way.
Won't speculate further regarding the method of manufacture of the 'hammered' effect, as hoping the op will be able to provide details when vase arrives.
Hope of some interest.