Pictured, Washington No. 2

As of 1939 Directory
631 F Street NW
1419 I Street NW

As of 1956 Directory
631 F Street NW (same as above)
830 14th Street NW
3020 14th Street NW
714 18th Street NW
1032 17th Street NW
1606 K Street NW
412 Rhode Island Ave NW

I also found a separate listing (competing restaurant with a similar name, perhaps?) for the Atlantic White Tower System, which was located at 419 11th Street NW.