Update on the gear rack. I took some better measurements and it looks like a 9 DP 14.5 degree taper rack. Not good news as they really don't make 9 DP racks. This sort of makes sense in a way since during the era this was built, it was all hand operations. Screws were turned rather than purchased, and a 9DP rack was just as easy to make as an 8 or 10. I also am going to need some square head socket wrenches as it was easier for them to make square head screws than hex head, so it is covered with square head screws.
I am also going to measure the pinion that rides on the rack to make sure that it is really matched to the rack. As I initially mentioned, it has a lot of play.