Congratulations on getting it running.
I think there are 2 possible answers to your question
Answer A: You have "old school" bearings and need grease with "bentonite" in it (aluminum phyllosilicate - clay). If this is you then I can suggest Lubriplate 930-2. I have 9 tubes in the shop (you can buy this a lot of places in "oil country"). If you were close I would send you a tube for postage. If not, you can find it on amazon by the case. This grease is "tacky" and won't easily heat up and run off.
Answer B: You have modern replacement bearings and you need whatever kind of lube is correct for that bearing.
The problem is that with my machine I don't know what I have. I suspect A, but I am not sure and I don't know exactly how to tell.
I might also suggest that your oil is running through your bearings. Depending on your cutter head (old/new) design there are seals that might have looked more like "stains" on the steel by the time you saw them inside your cutter head. Mobile DTE is the family of oils often suggested for the CH oil.
You can't go wrong with RPI - but keep in mind - IF your bearings are modern - grease designed for 60 year old tech might not be perfect. And I would not pay anyone > $20 a tube for anything.
I don't know about the seals that you might need to replace but I suggest that you Google "California roll grease" "Van Norman" and get set for an hours worth of light reading about heavy oil (and grease).