The parents of Regine Checinsky (born Nov 23 1895) are supported by Austria, Vienna, Jewish Vital Records, 1835-1938 Book: R 1895 Volume: 1895 Number: 2873 which lists the parents names as Aron Goldwurm and Telze Hecht Re. Woller.
It is possible of course that there are multiple Regine Goldwurm.
What evidence do you have that the woman who married Jakob Checinsky in Austria in 1922 was the daughter born 1899 to Moses rather than Aron's daughter born in 1895?
Alex Moes I have uploaded the birth certificate of of Marie Chencinski, Regina's daughter who was born in Strasbourg in 1927. You can see that the birthdate is the 3rd of February in Lemberg (which is Lviv). You can also see that Regina was looking for her siblings after the war in a document from the Arolsen archives: https://collections.arolsen-archives.org/en/archive/6-3-3-1_6331030... Some of these siblings can be found in the databases and they all share the parents Moses Goldwurm and Beile Forgasz.
Regina was the grandmother of my mother-in-law. Her grave in Israel also states that Moses was her father.
There was apparently another Regina Goldwurm who was present in Vienna at the same time. From what I can see, she and her family have later been listed in America.