This is a William Cook's 42,726 Break Cue. It has an ash shaft with a mahogany butt. The butt has an ebony frontsplice and is also edged with ebony at the tops of the four splices.
This cue commemorates the highest billiards break that is officially recognised by the Billiards and Snooker Control Council.
The break was made by William Cook Junior, over a period of several days ending on 4 June 1909, using the anchor or cradle cannon.
Notably, the B&SCC records the break at 42,746 points, whilst the badge credits William Cook with twenty points less.
The cue was made in the decade or two after 1909, probably by Peradon & Co.