As I understand it, whenever there is an edge inscription, there is no reeding on British Crowns in this period. I have checked my own collection - the Jubilee headed Crowns and the Wreath Crowns have reeding as do the 1937, 1960 and 1965 in the pre-decimal era. The rest have edge inscriptions and no reeding, including the 1951 and 1953.
BTW, have you got into the stop marks on the 1840s Crowns? The book says that both Cinquefoil and Star stops are possible on the 1844 and 1845 coins but I have never seen a Star stop 1845. (Some that claim to be, but always mis-identified.)