Firstly the kit you are referring to, the H-63, is a builder's or carpenter's kit and includes the router motor, fixed base, planer base and door hinge templet in a steel case with an optional spiral cutter sharpener (for the planer blades). Stanley made kits like that for the #4/#8 form motors and the later (post-1957) H-264/H-267 motors - and their later derivatives. Whilst they look very similar the planer bases are subtly different to the weatherstripping bases lacking a moving front skate and with a fixed as opposed to a tiltable side fence.
The R-4B router (the earliest of the #4/#8 body diameter family) appeared during WWII and after the war developed into the Handyman H-40 (3.2A) and later still the H-45 (4A). The "H-13" (GA-13?) you are referring to is probably the model number for the base (later renumbered GA-42, I think) whilst the H-39 is the motor number (bases and motors had separate numbers which is confusing).
As to what went into which kits there were builder's and carpenter's kits sold in steel boxes as kits certainly from the late 1940s until the 1970s. What was in a kit depends on which kit you had, and when it was made. In the Handyman line there were builders kits which used the H-40 and later the H-45 motors (3.2A and 4A respectively) whilst the more industrial versions of the kits used variations on the #8 motor, starting with the 3.5A #8 in 1949, through to the late models with 6A 90-008 motors made as late as the 1970s. AFAIK
that style of motor, originating with the R-4B router in the mid-1940s, was the type compatible with the majority of the weather stripping bases, although I understand that there was also a larger base weather stripping base made for the R5 router for a while
Personally I really like my old Stanley routers even though spares are non-existant and have been for years