Hi, these were amongst some items bought and I'm not sure of their purpose. Gentleman was an engineer and clock maker.
Item 1:

Left hans one has BA sizes on it.
Item 2:


Made in USA, Industro
Item 3:



I don't know if this is complete, about 3" is size, one part is hinged but certainly not a knurling tool for the lathe, but could be wrong 
Thanks
Roger