Welcome to the forum. I indeed expect it is a 1958 Model Three-Fifty-Seven, marked on the barrel simply COLT 357. In fact the 357 was not built on the Python frame, but rather the other way around, the 357 beginning in late 1953 and the Python not until 1955. The Model 357, as it is referred to in short, was the first Colt I frame and somewhat the forerunner of the Python. Many people are not familiar with them. The action is the same as the Python and, although the Python is touted to have special attention given to the fit and tuning, in those days, most all Colt revolvers did.
Here is a 1959 with service hammer and service stocks. Most/many, especially at first, had wide spur hammers and target stocks as shown in the catalog. There are a number of previous threads about the model and more pictures on the forum.