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Hi mildawg.
Thanks for the images - some interesting canes, of good quality. I do not see any 'complex' canes though - ones that have been made by bundling canes together, re-heating, and re-drawing. The canes could be Old English, but I think it is easier to rule out factories than to home in on one. I do not think it was made by Arculus, Walsh Walsh, or Bacchus. It reminds me a little of the paperweight shown below: this includes a green 'Queen's Head' cane which has appeared in a few Richardson pieces. But the rest of the canes do not look like known Richardson canes.
It could be that the paperweight you show and the one I have shown are from an as yet unidentifed factory (there are many Stourbridge and Birmingham factories who may have made paperweights). Factories opened and closed and changed ownership frequently in the mid 19th century, and the stock and glassmakers moved from one factory to another. So I suspect canes made in one factory got combined with and used in others.
Alan