No relation to Bauer that I know of. Most of the Bauer guns were just fine. However QC was somewhat spotty and enough lemons got threw that their reputation is a bit questionable. Most worked, some didn't.
IIRC, Precision Small Parts company was contracted by Kassnar Imports to make copies of the Baby Browning under license from FN. Mine is one of the late Kassnar guns. Although nowhere on the gun itself is it marked so. It did come in a Kassner box.
Anyway, PSP did such a wonderful job in these guns, that when the contract expired, they kept making them and sold them under their own name. Around 2005(?) the name was changed to Precision Small Arms.