This is a Universal - Houdaille Tapping Collet Set. # 15944. Acura-Tap (7/8" cap.) + Pipe Taps Collets, set of 11 With Case
As far as I know, these were never used, though they are probably around 15 to 20 years old. The taps come with the original holder/case and lid. These collets hold hand taps for rigid tsapping in milling machines and vertical machining centers typically. The tap collets are part numbers:
15858
15859
15860
15861
15862
15864
15866
15869
15870
15871
The 11 collets in this set are 3/8, 7/16, 1/2, 9/16, 5/8, 3/4, 7/8, 1/8 Pipe LS, 1/4 Pipe, 3/8 Pipe and 1/2 Pipe
All the photos except one, are the actual item that you are purchasing. The one of all of the collets not in the tray, is of another set.