Ricklin said
Reblued and refinished means no collector value. That's my take but will defer to those more learned than I. What is the barrel length and choke? You have a nice family heirloom shooter IMO. Take good care of it for the next generation. The auction sites like Gunbroker make common guns pretty easy to value. Do not waste time with asking prices, the seller may know less about 1897 shotguns than you do. Look at the closed auctions, green means sold.
  

Thank you this helps. It is 30” full choke and seems to have all the right numbers. I am not sure about the refinishing. It was originally my great grandfathers gun and really had very little use. Between my dad and I we have done nothing to it for last 50 plus years. Just sat in nice gun cabinets. Action is all very tight which is good. I hope to find and expert who can determine if bluing has been redone. It kind of make sense it was as it is 114 year old.

oldcrankyyankee said
I always love those "golden BB" late breaks.
  

Any break is a good break. That long grass is your friend at the traps. I'd put the grandson's to work finding enough clays and drag the manual trap out from under the clubhouse. I think they liked clay hunting better than clay shooting did manage to get both of them a break. A lot of those clays would have one two and rarely three holes in the dome. Do bear in mind trap targets are shot edge on for the most part. I'm a big fan of a black dust cloud where the clay used to be, but every break looks the same on the scorecard. An X is an X.

oldcrankyyankee said
I always love those "golden BB" late breaks.
  

Have been a benefactor of the "golden BB" but a fixed Winchester full choke won't give you many. The ones I've tried pattern beautifully with few potential "golden BB's". Seems there's a hole in my modest collection were a Model 37 should be.

Mike

If I had to shoot an old Win model 37 for trap? I would conjure up a method to add weight. I like about 9 lbs. for trap. Maybe a big hunk of Wolfram? The simplicity makes adding weight a challenge.

Super light weight 12 gauge guns are great for a lot of carrying, and a little shooting. Right around the third or 4th trap round you will likely learn why weight is your friend. Trust me on this, it is a lot easier to develop a flinch than it is to UNdevelop a flinch. We can't argue with our subconscious mind.

My old Smith is as good as it ever was, I like it's straight grip. It only comes out to play on nice days. I'm sure no expert on the game of trap, my take on the popularity of the SBT's is very simple. No more than half of regular trap shooters shoot doubles. I recently sold a cool old Beretta SBT, I picked it up cheap, repaired it and flipped it. I really liked the gun, an old TR 1 from the 70's or late 60's. The Browning SBT is pretty much the gold standard of SBT's today.

One day I may get back to shooting trap regular, it is a costly game. Being totally out of practice I still break 20+ actually 25 if you count the ones that break when they hit the ground. Depends on when we last mowed the grass.

I do remember that in the mid-Fifties Ithaca still made a very expensive single barrel trap gun. Very handsome it was, too and available in ascending orders of splenditude for those unconcerned with price. 

I didn't know anything about trap and wondered what an owner would do about doubles. 

I have a Model 37 16 gauge that a declining friend gave me last year. I think it is a neat little gun and plan to keep it for a future young shooter. 

But the capped grip you see on the Model 21 is just right and that's what your 23 has as well. 

I had always wanted a Model 21 Skeet Gun with a straight grip but when I finally got a 21, it was a Skeet Gun with a fairly open, uncapped pistol grip. It is a 1947 vintage gun but with the earlier 26" barrels, pretty whippy and no tendency to follow through. The pistol grip gives me enough extra control to pull the gun through the target. 

Zebulon said
I don't think any of the Model 23 guns were made without automatic selective ejectors.  The Model 23 is essentially a version of the Manufrance "Robust" model, made by Olin-Kodensha for Winchester. 
I once owned a Pigeon Grade Model 23 20 gauge with Winchokes and it was a fine upland gun for doves. However, I think the Light Duck version is far more elegant and closely resembles the Model 21 with its capped pistol grip and long semi-beavertail forearm.  
If your Light Duck is in as fine a condition cosmetically as it appears to be and is mechanically the same, I would for my own use either have the chokes polished out to something more open -- perhaps IC and Improved Modified - or investigate having tubes installed. I am not a waterfowl hunter. 
However, the last time I looked on the Briley Website, the firm would no longer install tubes on side-by-side doubles. Briley's last price for that work that I saw was five hundred dollars. Simmons used to do such work. I understand that it is an operation that, if done poorly, can alter where the gun shoots and not in a good way. 
  

My plan is to send the barrels to Briley for thin walls or at the very least open them to IC MOD.

i looked at many of these and this is the cleanest one I found. I almost got a pigeon grade until I realized they have a semi pistol grip and the light duck just looks more like my 21, a mini me sorta!

I once owned a Pigeon Grade Model 23 20 gauge with Winchokes and it was a fine upland gun for doves. However, I think the Light Duck version is far more elegant and closely resembles the Model 21 with its capped pistol grip and long semi-beavertail forearm.  

If your Light Duck is in as fine a condition cosmetically as it appears to be and is mechanically the same, I would for my own use either have the chokes polished out to something more open -- perhaps IC and Improved Modified - or investigate having tubes installed. I am not a waterfowl hunter. 

However, the last time I looked on the Briley Website, the firm would no longer install tubes on side-by-side doubles. Briley's last price for that work that I saw was five hundred dollars. Simmons used to do such work. I understand that it is an operation that, if done poorly, can alter where the gun shoots and not in a good way.