Yes, Generally speaking Chinese saxophones (PROC=China not ROC = Taiwan) come with gloves and more often than not with a name made up by the importer and no indication about its country of origin or the maker (it is impossible to discover, even for a brand that is well known to be manufactured in China, such as the less expensive line made under the Bauhaus Walstein which is the factory that it came from and the horn, although sold in GB bears no indication of the country of origin) .
So, I am afraid that you Bauer sax will stay an unknown entity until you don't buy one . Even if someone has bought a sax with that name there is no absolute guarantee that another saxophone bearing the same brand name would have been made in the same factory. Often times these saxophones don't even have a serial number and if they do it doesn't mean much anyway.