The Ideal Straighline shotshell reloading set was a long running item, which preceded the purchase of the Ideal Co by Lyman in 1925. It was still listed in Lyman catalogs at least through the late 50's, I do not know the actual extent in either direction. The Star/fold Crimp was not introduced by the industry untill the late 30's, just prior to WWII. I do not know how long it was before Lyman added the Star/fold Crimper to their line which was confusing as their old delux model of roll crimper had been known as the "Star Crimper" for many years. I have a Lyman handbook #37 (dated 2-50) & the star/fold crimper is shown for use with the Straightline loader in it. I expect it had already been listed for several years by then.
No help on the other dies. I have an old set of Herter Shotshell dies wich fit either their #3 or the Lachmiller presses having 1¼" threads. It was very slow in operation as the parts were interchanged in one body, though extra bodies were available for use in their turrent press.