My old friend has a Kentucky KM-675 that he bought used 15 or more years ago. He bought it cheap because the peghead had been broken below the nut and repaired badly. Over the years, the crack slowly opened and ultimately the repair failed. I may have written before about "re"-repairing it. Anyway, he dropped it and re-broke the peghead after I had repaired the earlier botched repair. It had been holding fine until the traumatic gravitational incident.
#1 problem is that the break is right through the truss rod adjusting pocket. there is just not that much wood there to work with. compounding that, And I had not fully realized it before, is that the neck is some kind of maple-looking wood(maybe real maple, maybe not)and the flat part of the peghead is some sort of coarse-grained mahogany scarfed onto the maple.
The break is clean without much grain tear-out and not much glue residue. The plan is for fresh hot hide glue. After I get it glued and solid, I will drill two small hole in whatever sound wood is left and insert some small carbon-fiber rods with epoxy. I'm also considering some small overlays on the outside and re-profiling the neck.
I've had a pretty good opinion about Kentucky mandolins, but this has given me pause. Poor design, poorly executed. I may end up replacing the entire neck with a new maple one, but it will be a labor of love, 'cause it sure won't be cost-effective.