Following on from my thoughts above and linking back to this post on the thread, and Anne's lead about Johann Meyr and Adolfshutte and her link to the CMOG catalogue:
https://www.glassmessages.com/index.php/topic,64586.msg361974.html#msg361974Pressglas-Korrespondenz information in this link appears to me to say that Meyr did work for Lobmeyr:
See Seite 16 - bottom of right hand column for the specific google translation para below:
https://pressglas-korrespondenz.de/aktuelles/pdf/pk-2020w-sg-lithyalinvasen-form-geblasen-1815-1840.pdf'Johann Meyr built the Eleonorenhain glassworks
[Lenora], production began in 1834 [Lněničková
1995, p. 18]. After the death of Johann Meyr in 1841
Wilhelm Kralik and Josef Taschenk took over
Adolfshütte and Eleonorenhain [Lněničková 1995, p.
19]. They worked primarily for the glass shop
Lobmeyr in Vienna...'
So a possibility to explore for my jug could be might be that the jug came from Johann Meyr but made for Lobmeyr design perhaps?