It is always fun to break down a piece of equipment that 1) you are not familiar with, 2) have no manual, 3) and have limited information available.
You seem to have the right mind set. When doing this kind of work it is so easy to overlook a connection, obstacle, etc and because of the weight of the pieces, cause serious damage to a component(s). Taking your time and reviewing the situation multiple times is the way to go. Getting in a hurry will only serve to complicate the project. I am sure over that week, even though you were not face to face with the lathe, you were thinking through different scenarios and options.
Nice work in getting that apart.