Not a lot know but found this on the web
Baylor was one of about 150 brand names used by Benrus Watch Co of Chaux de Fonds, which was founded in 1927 and continued until at least 1977 (according to Pritchard). The company had a presence in the USA.
Gruen also shared this brand name and several others, so I assume there was a corporate connection between the two companies which Pritchard doesn’t make clear.