Lincoln "L" Technical Questions

I ordered a tool from McMaster-Carr and I managed to get it adjusted. What a pain. The big lock nut came off easily enough but the brass adjustment nut was STUCK! It was also pretty battered from prior attempts to move it without proper tools.

The hook would not fit into many of the spaces. Finally I had to remove the two studs and use a channel lock pliers and a bunch of PB Blaster to get it to move slightly back and forth finally turning enough to make and adjustment. Again the wrench wouldn't fit into every hole that I wanted it to. If it were removed I guess I could straighten the castleations and clean it with a file.

What is actually being moved to adjust the chain anyway?

After adjustment the lock nut screwed on and the tool tightened it down snugly.

Now on to other repairs and attempts to making it to run.

Wow, beautiful, but my car isnt THAT nice . . .

https://www.ebay.com/itm/RARE-VINTAGE-LINCOLN-L-TOOL-KIT-and-original-bag/174139425333?hash=item288b84c235:g:2BAAAOSwFlJeB4yY

A complete 29 L tool set on ebay. There are other items. I must have missed this before, but there is even a vintage LOC badge. The tool kit $$ https://www.ebay.com/usr/kittycoins?_trksid=p2047675.l2559

Ok then, Hooked spanner . . . . It sure is easier to find one when you know what it is called. Thank you all very much

AND the same style as original:  https://www.mcmaster.com/hook-spanner-wrenches
Measure the slotted rings and get the exact fit.

Here is the other type and much better quality!

https://www.jwwinco.com/en-us/products/4.1-Tightening-Loosening-and-Adjusting-with-hand-tools/Hook-Spanners-and-Spanner-Wrenches/NO.775C-Steel-Hinge-Type-Hook-Spanners-with-Nose-End

The tools you need are called Hook Spanners. The ones referenced on Ebay have round pins at the tips of the hooks. This is the wrong style. There is another type with rectangular flat faced lugs at the end, formed as an extension of the hook. The original ones are of one piece flat steel., sized to exactly fit the two notched rings for the adjustment. They are clearly shown in the Service Manual illustration of chain adjustment.  Some clever person could laser cut new ones from steel plate.

You can still buy this tool, here are some from eBay but I am sure you can buy better quality ones!

https://www.ebay.com/i/143393295087?chn=ps&var=442322107682

The owners and shop manuals show two hooked type tools to use to loosen the lock nut and adjust the L timing chain.

Not having these tools, what substitutes or options available to do this job?