I’d been wondering just how old the epithet is after finding to my surprise that it isn’t a Jewish term at all but a Christian one. OED gives this 1878 cite for a similar term with the actual phrase showing up in 1919.
1878 J. Fergusson Temples of Jews ii. xii. 183 The most interesting particular mentioned by the Pilgrim is the ‘Lapis Pertusus’, which was then the Wailing Place of the Jews.
1919 Q. Rev. Apr. 328 To the Jews the principal Holy Place is the Wailing Wall, the fragment of the Wall of the Temple at which the Jews perpetually mourn for their lost glories and pray for the restoration of them.
I would have expected it to be older but then I thought the Jews called it that so clearly my expectations are anything but great. Has it historically been the Western Wall to Jews and Christians alike before the 19th century? And what is the translation of Lapis Pertusus?