Determining age of Remington rolling block rimfire.

[Dogleg]

I picked up a Remington rolling block take-down from the EE the other day, a lever take-down that was originally a 32 Rimfire and has been converted to .22 LR. Is there any way to get a ballpark figure on when it was made from the serial number? I realize that it won't be exact, but even narrowing it down to a few years one way or the other would be fun from a conversation piece point of view. # is J206021