Earl,
Welcome.
I'll wager that the factory procedure is exactly how we do it when rebuilding. Each part is installed in a specific order so I'm pretty confident it is the same as described in the Service Manual.
The process, if followed, will minimize "repositioning" the pump to get it aligned properly (yeah, I was nervous the first time I did it). Concentrate on the paragraph on installing the oil pump for your engine. It specifies the "clock" position when sliding the shaft into the block and then describes the use of a long screwdriver to move the teeth to mesh at the correct position and then what to see after the installation.
I've seen old photos of factory workers doing the assembly. With no robots or auto assembly visible, I'd assume they used flashlights and screwdrivers and other hand tools during assembly.