The Inlander. Vol 1, Issue 1, dtd 1935-36 was six years before the first carbine was manufactured. At that time Inland didn't even know they would be manufacturing M1Carbines for the war that would start three years later.
There is absolutely no carbine serial number data in Inland's Personnel Divisions Training Section History report.
Inland did publish some serial number data in the form of weekly test reports. Some of the reports have surfaced but most have not.
Wikipedia and Harrison's book are the two absolute worst sources for factual information on the M1 Carbine.