Jason Clarke Antiques has dated this piece to the 1850s.
A glass cup would then collect the blood and was seen as a way in which to prevent or cure illness.

This example is presumably manufactured by Evans & Co although it only states “Evans, London” on the side of the case. The company were top end surgical instrument makers and are considered to have been in business from the late seventeenth century all the way through until 1874 although Evans was in partnership from the 1860s until the closure of the company.
This piece is in superbly crisp condition, circa 1840.
Jason Clarke Antiques has dated this piece to the 1850s.
You can view the stock and full dealer information on the Jason Clarke Antiques Profile Page