The Eagle Head/S14 indicates the pistol passed all inspections and was accepted by the U.S. Ordnance Department and was not sold commercially.
Virtually all of the pistols in the serial number range of 348960 to 358189 went to Bush Terminal, Brooklyn NY, and were shipped to the AEF in Franceicon.
If the pistol shown ended up in Canadaicon, it somehow got there from the U.S. Military, and was not originally shipped there.

Some pistol records that show up in the 350XXX range.

350XXX 7/1/18 SA Function Test
350XXX 4/24/28 USATC Provost Guard
350XXX 2/1/41 HQ Trp. 115th Cav. (H-Mecz)
350XXX ---"--- -------------"-------------------
350XXX 12/3/40 ------------"-------------------