I've had a further reply from the seller, with a slightly better pic of the bottle (not really need now we can see Natalie's fab picture) but he also tells me that the maker was a small glassworks in Denmark with a name like Ludwig or something similar... which is another possible step forward...
The name "Ludwig" as a glassworks does not say me anything. A name close that I can think of would be "Lyngby Glas" but it was not a glasswork but a company that did import stemware to the Danish market, but did not have any production.
You can find few of "Lyngby Glas" on my homepage, click "Designers" scroll down to find "Lyngby Glas" click link to go to subpage for "Lyngby Glas".
As for if the Bagley Ilkley trinket set was reproduced in Denmark in the 1960's I will say that it is not something I have come across. The main producer of pressed glass was Fyens Classwork and was the main factory of this kind of glass work under Kastrup Classwork. Of cause Holmegaard Classwork also made pressed glass.
Holmegaard Glasswork did in 1963 made a reproduction of a mould from 1912 that they at that time had difficulty making - Can be found on my website under "Artglass" click letter "P" to jump down and find "Presset glas", click link to go to subpage scroll down and find a ice blue dish with fine pattern, also I know that there was made a bowl with same colour and pattern.
Same place there also is a link for Kastrup/Fyens "Presset glas" and there is to be found a candlestick set a bit similar to Bagley Ilkley candlestick.
As I see it this type of pressed glass, colorful lots of pattern did start approx. 1910 in Denmark and hardly no production after 1950.