Don't think the particular model holster had a name. I was unsure so I email the guy and he said the model number as shown in my post picture is what I needed. What is really neat about it is the extra magazine holder built in to the holster.
My Safariland 5197 for my Glock 19 Gen 3 works great. I have to tighten down on the tension screw just a bit but other than that, it fits well enough that I won't look for another holster for it. I will post some pictures later if I don't forget.