The Darrin Lubrication Chart is part of K-F Service Bulletin #416. It shows SAE 80 weight gear oil for the 3-speed manual (with overdrive) gearbox, and SAE 90 weight gear oil in the differential. It also notes about using SAE 90 if you are in hot climate areas.
Kaiser-Frazer or Willys never put out a regular Shop Manual on the Darrins. KFOCI HANDBOOK has the complete set of K-F and K-W Service Bulletins issued on the car and can be used instead. Note that the Service Bulletins indicate that for some issues, the 1951-1952-1953 Henry J Shop Manual is used for some mechanical issues, and the Willys Motors Mechanics Manual for the 685 and 226-6 engined Willys Cars is used for some engine and drivetrain issues.
I thought this was something the Darrin Registry handled for members?