The Weaver mounts in the 1950s and 1960s would probably be the most popular line of scope mounts of that period. They have remained one of the top scope mount companies for over 50 years.
In the 1954 advertisements for Weaver scope mounts they would relatively be the same as those when I was gunsmithing in the 1970s, 80s and 90s. They were good functional mounts and their top mount system and bases were probably the most used system out there. Their side mounts were very slim and of good quality.
Also at that time they produced what they called a Weaver pivot mount which was produced around 1960 and became quite popular. I did install many of those type mounts in the 70s and 80s, and I really did like them. I still recommend the pivot style mount over the see-through mounts.
We would also at the time install the Quick Sight mounts that were the see-through style. Weaver would eventually make them also as they became very popular. I personally liked the Weaver style pivot mount because of the issue of keeping the scope low to the receiver. The see-through mounts had a tendency to make you pull your head off the stock and this is not a good shooting position.
The Weaver mounts could be flipped to the side so you could use the open sites yet retain the close tolerances between the scope and receiver. Many people didn’t like the Weaver style flip mounts because the screws could maybe loosen up and cause problems with keeping the scope sighted in.
I would suggest that the screws holding the mounts to the rings be changed every so many years. You can still purchase them from the Weaver scope company. Primarily these mounts were for emergency use if the scope failed or if the right shooting condition required an open site shot. Then the scope could be moved very easily out-of-the-way and provide an excellent view of the target without having the scope in the way.
The problem was I believe that people tended to open and close the mounts too often in my humble opinion.
The Weaver mounts were a nice addition to those classic Golden firearms from the 1950s and 60s and still work very well on those classic traditional Winchester rifles or Remington rifles. If you are looking for an inexpensive, yet very functional mount for your firearms than the Weaver scope mounts may be a good option. Even those firearms shooters of today in 2015 should consider the Weaver mounts as a good addition to your next firearm.