Could be anything from an all original dead mint Grumley Deerslayer T/D with rattlesnake skin back which would command a staggering 4-figure value... down to the bottom of the line up being a straight end one-piece lemonwood in poor condition with a value of less than $50.
Would have to know more details than Bear bow from mid 40s to give a realistic idea of its value. Photographs would be best, detailed description would be next best.