I can't tell you anything from an internet photograph about whether a gun is safe to shoot.
Nor can anyone else. Key measurement on these guns (assuming on face and that the ribs are solid - barrels should ring when tapped) is the barrel wall thickness. Too many of these guns had pitting removed with aggressive barrel polishing that has taken them out of proof and made them unsafe and unsalable in the UK - somehow they have a way of ending up over here. Not just any gunsmith can measure that for you and know what it means.
It looks like a nice gun, but all the case coloring is gone (in fact, the action looks polished) and the action pins and holes look to have been drifted by someone using a steel tool. That indicates someone may have been inside who should not have been. The action metal is fairly proud - not totally unusual with shrinkage over a hundred year period, but the stock looks like it might have been somewhat aggressively sanded when restored (even without holding the gun, the checkering looks to have clearly been re-cut). The action and stock refinish are potential red flags (again, I am only speculating from one photograph). It was also put into a modern made canvas case with a reproduction WR case label. In other words this is a nice looking, but likely well used gun that seems to have been dressed up a bit. It may indeed be in fantastic
restored condition, but that needs an informed assessment. If you do not have a lot of expertise in assessing SxS's , it pays to do some due diligence (preferably before buying the gun - but certainly before shooting it.)
Were it me, I would not shoot it until someone competent had gone over it with a fine tooth comb. You are here in Texas, and JJ Perodeau
https://jjperodeau.com/ is a short one-day ups shipment away in Oklahoma. For a very reasonable fee, he will disassemble, clean, and inspect the gun. He will hopefully tell you that I had no clue and that it is a wonderful original condition gun. But regardless, he will let you know what, if any issues, may be in play.