You need to be a little more descriptive and you also need a better photographer..
Make: S&W ??
Model: 1 1/2 ??
position of serial Serial #: 123x
barrel marking exactly as marked, if it say N.Y. or NY or New York
Grip Markings & material
Is there provenance?? Did grandpa buy it new or was it passed from ??someone?? to someone else??
Are there papers/photos/holster/ammo that go with the pistols..
You need to find a reputable antique firearms dealer to give a written appraisal,, "for insurance purposes" ..
Now if it says "black cat" or H&R or Sears we are talking low $$, even some of the S&W revolvers are modest 200-300 USD..
I'm not a collector,, I have several of my grand parents & aunts & uncles pocket carries. They were in the manufacturing, bottling, & distribution of medicinal products back in the early part of the last century. Because of unscrupulous competitors, they found it beneficial to arm themselves. Anyway,, some of the pistols ended up in my possession. Out of the 5 I have,, four total maybe 300 USD in value,, One is a S&W Model 1 1/2, nickle plated, .32 S&W, brake-top and is worth a bit more..
Here is a link to what you may have:
http://www.armchairgunshow.com/SW-TB-info.html
Good luck..
Jim
SFA M-11313-L