Yes, .38 S&W Special is the ctg. There was a .38 Colt Special, differing only in having a flatter nose profile on the bullet.

You seem BADLY in need of basic gun knowledge. I suggest finding and buying Geoffrey Boothroyd's, The Handgun, Crown Publishers, 1970 and Elmer Keith's, Sixguns, 1961 rev. ed. Those are a good basic start in learning.