Difference Between Brown & Sharpe #9 And Hardinge 9b Collets ???

I recently got a Burke Millrite MV and it came with some extras but only came with one collet. The manual says it takes a #9 long taper B&S but the collet that was in it says Hardinge 9B. They look the same from what I can find to look at, but I don't want to buy some and not be able to use them. I contacted Hardinge and they will make 9Bs at almost $200.00 a pop. I found an 11 piece set of B&S (prob made in china) for $160.00.

Does anyone know if these worked in the same holder? The...

Difference Between Brown & Sharpe #9 And Hardinge 9b Collets ???