P.S. serial number on the 35 Remington is 11430 so I think it was made in 1935 but if someone can verify that I would appreciate it.
You want to find the date code on the left side of the barrel right by the receiver and match it up to this chart for the correct month/year of manufacture. You will probably need a magnifying glass to read it, it's generally very very small.
Remington Date CodesThe serial number was only a help when Remington was still in business. You could call them, or ask on their website.