Not exactly. To make it short :
In 1871, France got his ass kicked by Prussia and it's allies (mostly because of incompetent officers and cowards poltics, but it's another story).
As a result, the newly formed Reich take as a reward a big chunk of France's territory : the departments of Moselle and the two department of Haut-Rhin and Bas-Rhin, Alsace being Haut-Rhin and Bas-Rhin together.
It was most commonly as "Alsace-Lorraine".
For the railways in Alsace-Lorraine, Germany create of new administration, know as the "Kaiserliche Generaldirektion der Eisenbahnen in Elsaß-Lothringen", shortened to "EL" (in english : General Directorate of the Imperial Railways in Alsace-Lorraine).
Fast forward to 1918, Germany lose the war, France wins and get his territories back, with
The EL railways. In 1919, the "Administration des chemins de fer d'Alsace et de Lorraine" (Alsace and Lorraine Railways ) is created. Basically, the old EL railways, but under french administration.
At those times, iIt was big private railways companies that owned the lines. They were all fused together, including the AL railways, in 1937 to form the new SNCF (French National Railways).
I'm not sure if i explained correctly, without going wikipedia-wall-of-text-style. And sorry for broken english.
For the S16 (S stand for "Schnellzuglokomotiven" or "locomtives for fast train", they were built in 1932, as prototypes, number 1401 and 1402.
Both were stolen during WW2 by Germany. 1401 came back to France after the war, but was scrapped in 1947 because it was badly damaged. 1402 never came back, and was scrapped in Germany in 1953.