No information, but it’s unfortunate that they did not include a front-panel socket for TO5 and TO18 packages (isosceles right triangle). I assume that the beta measurement is simply a current source to the base-emitter circuit and a current meter for the collector current. Is it battery operated and how much voltage do you see at the collector terminal?
You might be able to find a manual for the Heathkit IT-18, which looks similar, but it’s beta and leakage scales are nonlinear. Similarly, the Sencore units have nonlinear scales.