This does not match any of the Manchester registrations, though bearing in mind how loosely the registrations were applied, it could be an amendment of an existing pattern.
For an example of this problem, look at my page:
https://sites.google.com/site/molwebbhistory/Home/registered-designs/molineaux-webb-designs-by-date/molineaux-webb-1868and registration number 219769
There you will see a celery with a whole frosted body, which matches the registration document, but the next image down shows another example with various shapes cut into the glass, but still bearing the same registration number.
Derbyshire only registered Greek Key designs in 1864 and 1865. They used a rather fat style of Greek Key as shown on your celery image, but there are no examples with the diamond pattern as seen on your celery.
So if we assume this is by them, and they amended an existing pattern, your Greek Key reg numbers are:
180699 (butter cooler with under plate) - Nov 2 1864
186847 (celery) - May 16 1865
189066 (gas moon) - Aug 15 1865
I have all the lozenges drawn out on this page
https://sites.google.com/site/molwebbhistory/Home/registered-designs/derbyshire-brothers-designs-by-date/derbyshire-brothers-1864-1865I would personally have some doubt that it is a Derbyshire piece, but if it is listed as such on the Pressed In Time site, and theirs has a lozenge, presumably they matched it up to Derbyshire.