Yes your 37 was made in the later part of 1952.
The condition taking in the pitting and the chipped stock,wrong pad.Is not bad for that old of a Ithaca.
The book says between $250-$350 but depending on ware you live and who wants it really determines price.
Around here near Ithaca NY they go for more because there is a high demand for them.
But in other parts of the US you may only get $200 for it.Even with the hand checkering and pumkin foreend.