This piece of information may not be pertanent as the spelling of Cook includes an "e", but just in case I thought you might find it useful.
Taken from Jason Ellis's excellant book "Glassmakers of Stourbridge and Dudley 1612 -2002", pub 2002, Jason Ellis, page 353:
Chapter 35, Castle Foot Glassworks Dudley:
"Castle Foot Glassworks stood on the corner of Downing Street and Tower Street, at the foot of Castle Hill. Two possible dates are suggested for its establishment. 1780 or 1789. Sadly, records from this period are deficient. The first reference occurs in an 1818 Dudley Trade Directory, listing Cooke, Price and Wood as cut glass manufacturers at Castle Street. An identical listing appeared in 1820(2).
The partners in this concern were Benjamin Cooke, Joseph Price and James Wood. Little is known about them, but in a deed dated 26th May 1820, James Wood glass manufacturer, became a trustee of the Independant Chapel in King Street, Dudley. The difficulty in tracing the partners' descent could be because they were nonconformists.
They disolved the partnership in 1820 with Cooke and Price leaving the firm."
(2) - Lewis's 1820 Worcestershire General and Commercial Directory.
There is then a quote from the document disolving the partnership, in which James Wood takes on all liabilities, followed by the remainder of the chapter about the succeeding company, Guest, Wood and Guest.
Hopefully this might give you other leads, including the nonconformist 'problem' I'm afraid.
Good luck with your quest, Nigel