That will depend on what is damaged and the condition of the remaining pieces. An Ithaca double is worth at least a few hundred dollars in operating condition but if it's a wall hanger, it's worth what you can get for it. If the stock is the only damage part, you can price a replacement at gunpartscorp.com or take it to a gunsmith for appraisal.
If that is an old double barrel "New Ithaca Double" it was made in 1926.
It sounds to me that you have a Ithaca Flues model double barrel shotgun.With the serial number that you provided,your shotgun was made by Ithaca in 1917.
You have an Ithaca Flues model made in 1915
Its an Ithaca Flues model made in 1921
Your serial number indicates that you have a Ithaca crass model double,that was made in 1903.
Its an Ithaca Flues model made in 1921
You have an Ithaca Miner model made in 1907
I have a 20ga Ithaca double barrel hammerliss shotgun has dogs on the action, serial number 249015 is about 85% condition, what is the age and value?
With the serial number that you provided,your Ithaca double barrel shotgun with the damascus barrels was produced in the year 1900.
You have an Ithaca Miner model made in 1907 if it is a sxs double not stated in the ques.
Sounds like this is a "New Ithaca Double". Depending on condition, I see these selling for $350-$500 on Gunbroker.com.
By your description,it sounds as if you have a Ithaca model Flues double barrel shotgun that with that serial number was produced in the year 1914.