Yes, the Scheiner attribution is correct.
Freidrich Gottlieb "Fritz" Scheiner. 1894 - 1972
Information courtesy of Seigmar Geiselberger shows that Scheiner was a glass designer of importance. In an article written by Dietrich Mauerhoff for Seigmar dated January, 2004, Scheiner is shown to have been the artist behind lovely items from Brockwitz such as the Fish handled bowl (I have a pink one) and the Parrot bowl and vase (I have an amber vase which I adore). He also designed the wonderful centrepieces made by August Walther such as the Neptune, Belvedere, Hollanderin and Mo(e)ve.
I can't read or speak German, so if any of my comprehension (or spelling) is at fault, my apologies.