You don't state what year your truck is. My 1950 COE had a canvas boot held in place by the four strips you mention. This is along the cab floor under the seat, so you don't see the boot unless you remove the seat. There is a leather boot lace that ties around the shifter. I think I may have a picture stored on another computer, but getting ready for Christmas eve lunch for family right now so will try to find and post it later.
Kent