The value of this will depend on the market. You can take it in to your local pawn store to find out the current value.
Here this listing of serial #'s fir the Remington Woodsmaster 742Serial Number Blocks:1951-1967 1,000-541,0001968-1975 6,900,000-7,499,9991975-1978 A6,900,000-A7,499,9991978-1981 B6,900,000-B7,499,999Just Find where you number falls in line with.Hope this helps
Diagram and details can be found here (stamped on barrel) http://remingtonsociety.com/rsa/questions/barrelcodes
Numrich gun parts
Yes, I also have a Remington 244. I haven't it shot it in years but it used to work great with Winchester 6mm cartridges. Seemed to jam more with Remington for some odd reason.
Check the service/parts page on the Remington Society of America here: http://remingtonsociety.com/rsa/service
Many Remington rifles manufactured prior to 1968 did not have serial numbers. You can find a date code on the left side of the barrel near the breech. The Remington Society website http://www.remingtonsociety.com contains a page that contains a listing of the date codes and their corresponding months and years.
Link below
Might try a place listing parts on the Remington Society of America's Service and Parts page here: http://remingtonsociety.com/rsa/service
try manciniracing.com or most parts places can order you the parts.
gunpartscorp has them listed on their website for about $135
Check Remington Society of America Service/Link page: http://remingtonsociety.com/rsa/service