What is the year of manufacture of a Marlin original golden 39AS with serial number 1114xxxx?

The answer is that you have to take the first 2 digits of you're serial number.

that is in you're case 11.

then use 2000 minus the 2 digits that you have and that is you're date of manufacturing.

with you 2000 - 11 makes 1989.

Voila.