First of all, the gun in your picture is a .38 Combat Masterpiece. It has a 4" barrel and the Baughman ramp front sight. If it is from 1960, it should be marked as a Model 15.
Perhaps I'm not seeing the picture correctly, but it looks to me like there is a football cut on this pair of stocks. In any case, they don't appear to be the non-relieved type. However, if they are non-relieved, then they are correct for a 1952 Combat Masterpiece. If original, they might have been numbered to the gun, since
some of the very early examples were. But, according to your post, they aren't numbered and you didn't get them with the 1952 gun. You say they came on the "Model 14." If I really am seeing an extractor relief cut, they would be period-correct for a Model 14 or 15 of 1960.
As for the correct stocks on the Model 14 generally, they came with either Magna or Target stocks. Up until about 1968, either style would have the diamond center and would have squared off edges at the butt. Up until c. 1953, Magna stocks would have had the sharp shoulder. From 1953 until c. 1968, they would have had the diamond, the more beveled shoulder and square edges on the butt. Target stocks would have had the football relief and the diamond until about 1968. Only very late Model 14-3 revolvers equipped with Target stocks would have come with the speed loader relief. About the time the 14-4 was released, this style Target stocks would have become standard.
As for what is more common on the K-38 Masterpiece, my experience tells me that on the Model 14, 14-1, 14-2 and 14-3, the Magna option was more common. I've been collecting the K-38 for decades and I've seen (and owned) a lot more of them that had numbered Magna stocks than I've seen that came from the factory with Target stocks. I believe this started to change in the mid-1970s when the Target stocks seem to have become more prevalent, and the 14-4 seems to have shipped more frequently with the Target style. Interestingly, it seems that they were mostly walnut on the Model 14, even into that period. By that time, GA was more common on other models (this is based only on my observations - others may think differently).
Here is a sampling from my collection. Only the second gun from the top (a Model 14-2) is not wearing its original stocks.