The Naval Historic Center has the Dictionary of American Fighting Ships on line at:

http://www.history.navy.mil/danfs/index.html

I shows:

Porter- I, laid down in February 1896 in Rhode Island

Porter-II (DD-59), laid down in Philadelphia, 24 February 1914

Porter-III (DD-356), laid down in Camden, NJ, 18 December 1933

Porter-IV (DD-800) laid down in Seattle, Washington, 6 July 1943

Detailed information about the naming of each, the dimension of each, commissioning, and service is shown at the site.