Yah, the horizontal frequency is way off, but you may be closer to a coherent picture than you think.
Your horizontal circuit is much like the 19A12 that I recently finished. The manuals say little or nothing about adjusting horizontal frequency because there is nothing to adjust, apart from horizontal hold and horizontal size. This simple circuit does not have a coarse frequency adjuster, horizontal drive adjuster, etc., such as you'll find in fancier TVs.
The best you can do is to make sure the components are correctly connected and have the right values. I replaced several resistors in that area, perhaps a couple more than absolutely necessary, but now the horizontal works well.
Interesting parts to check: R42, R43, R44, C36.
In addition to the Wallace Teleaide schematic from ETF, you can look at the Riders 19A1 manual there. It uses the same part numbers as Wallace.
Originally, the output of the sync amplifier was coupled to the horizontal oscillator with a single capacitor. Riders describes a sync filter circuit that was inserted in place of that cap for later versions (C61, C62, C63, R90, R91, R92). If your set has that circuit, those components are candidates for checking. If the signal coming from the sync amp is distorted, the horizontal oscillator can't work correctly.
Riders also says that C37, a .001/1KV mica cap, is there for horizontal "symmetry and wave form correction." Another one to check. Micas are reliable but they do break down sometimes.
On the positive side, a simple circuit has fewer components to check than a complex one. You may be very close . . . .
Phil Nelson
Phil's Old Radios
http://antiqueradio.org/index.html