Thats some herd of cats--look like good mousers. Not sure if Wheeler and Wilson would be considered a Singer badge or not. 1908 catalog from Needlebar:
http://needlebar.org/manuals/singer1908catalogue.pdf
Jon
PS---I have what I believe to be a treadle cable measuring 21-1/2" long with press fit eyelets on each end. Got in a box of junk and yours if you think it will work.