Weaver went through changes. Your steel tube K4-60B will be stamped "El Paso" - W.R.Weaver company was started in 1930's in Texas when original W.R.Weaver company was making scopes there. Original founder died in 1975. W.R.Weaver company had been sold, the first time, in 1968. Since then, has had several owners. A "Classic K4x38" was made in Japan (I think?), originally, but I think the newest ones with that name are made in China. Weaver scope company is now owned by ATK (Vista Outdoors) - they also own Simmons, Browning Optics, Redfield, Bushnell, and probably several other scope brand names. The factory in El Paso has not operated for decades - an internet posting on 24hourcampfire says that the El Paso Weaver factory was shut down for good in 1984?
From what I had been shown, that taper post was sort of "transition" from iron sights - bullets to strike at the tip of that post - like using a post front sight - could be seen easier than fine cross hairs in poor light. I am not sure if the horizontal wire was a mechanical support or if it was to help know where "horizontal" was?? On the Weavers, that top of the tip should be square shoulder and protrude above the horizontal wire - at least one here has signs of corrosion, and the tip has rusted away to be more or less even with the cross wire. I am expecting that post and the wire to let go any shot, now.