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Hi Roy.
The canes look more like Richardson (or unknown) than Walsh Walsh / Arculus, but I am not 100% sure, as some are rather unusual. I don't think that Richardson made any low domed paperweights - but they did make a lot of inkwells that become fairly low domed paperweights after restoration following damage...and the concave polished base is unusual for Old English. So my feeling is that it is a repolished Richardson inkwell.
Alan