An elongate plate, for use in a railway frog or switch to receive two inclined rails which stand on the plate and on another plate like it and are to be anchored thereto, has an elongate hole through it, with the length of the hole being parallel to that of the plate. A recess is formed in the underneath face of the plate at one end of the elongate hole by counterboring after the elongate hole has been formed by punching, the recess forming a widening of the undersurface region of the elongate hole at that end thereof. Correspondingly, an associated clip anchoring device includes an upper part for anchoring a rail clip and a lower part which has an inverted T shape. The clip anchoring device is fitted to the plate by first inserting its inverted T part into the elongate hole, then sliding the clip anchoring device towards the part of the plate upon which the rail is to stand until the cross arm of the inverted T part is located in the recess, and finally turning the clip anchoring device about a vertical axis until the resultant orientation of the cross arm transverse to the elongated hole ensures that merely pulling the clip anchoring device vertically upwardly will not result in its being lifted clear of the plate. After the clip anchoring device has been installed and the associated rail put in place, the anchoring device is turned to a position dictated by the orientation of the rail.