As already mentioned, the first generation model 59 had no 45 ACP counterpart.
It was not until the second generation (459/559/659) that S&W began offering a DA/SA 45 ACP duty gun, the model 645
Image courtesy of gtopcop
The third generatio 5904/5905/5906 pistol had their 45 ACP counter parts in the 4504/4505/4506 family.
The 4516 mentioned above is a more compact (undercover/off duty) version with a shorter slide, shorter frame, bobbed hammer and less capacity.
I like my 4516 as a concealeable firearm. However if I were carrying openly or looking for a home defense firearm, the 4504/4505/4506 family would be my choice