I've been hoping to get an original of that manual - I have newer ones, but want the one that has the bobbin winder that you use your hand as the thread guide. That is an older machine than the #4, however winding the bobbin is one of the major differences.
I bought the older machine and it was in very good condition except for missing the front slide, and after looking and looking, I found a rough machine cheap enough I bought it just for the slide. It's a bit newer and has the thread guide on the bobbin winder. Both of those two were pre- chain stitch attachment, so I kept looking and bought a New Domestic, which was the early version that can chainstitch. There is a later version that also does, and after that White took control and Domestic became just a name on a White made machine.
So, on your Domestic #4, does the shuttle carrier have a hole in it?