Welcome to the forum. Your family gun has had some upgrades and modifications over the years. Those stocks date from 1968 or later and they are probably much more comfortable to shoot with than the original service grips would have been. At some point a trigger shoe was added; this accessory is usually found on target revolvers with adjustable sights, but you can find them on service revolvers like yours as well. The ejector rod shaft may be a replacement. The original ejector rod at this time had a large mushroom shaped knob on the end; you can still see the cuts on the underside of the barrel that were designed to accommodate the larger diameter. The rod you have there now may be a replacement from a later era, in which case there is a chance that the cylinder might be a replacement as well. Or possibly the knob was simply unscrewed and misplaced, leaving the bare rod; I can't see the photo well enough to know. At some point -- and I don't at the moment recall when -- those parts began to be milled from single pieces of steel rather than screwed together from small parts.
From other serial numbers I know about I would guess that gun dates to 1919, shortly after commercial production was resumed following the end of WWI. The gun is probably safe to shoot, but I wouldn't load it up with high power stuff. I usually shoot nothing more powerful than 148 gr wadcutter target ammo in my .38s from the '20s and before. If the gun seems at all loose -- fore-aft movement of cylinder or more than just a tiny amount of rotational play -- I would have it checked out by someone who knows old revolvers.
The gun looks to me as though it was renickeled at some point. Perhaps it got the new stocks at the time that happened, but that's just speculation. Those stocks are sometimes called plainclothes stocks because of the rounded edges on the long axis; the theory is that the shape of the grip didn't make a gun so obvious under a sport coat. Standard stocks have a sharp corner there.
Is the serial number repeated on the flat underside of the barrel, the rear face of the cylinder, and the underside of the ejector star?
EDITED TO ADD: Ah, while I was writing JMace57 came in with the same observation about the grips. His photo also shows the ejector rod knob I mentioned.
SECOND ADDENDUM: And I completely read past Peak53's post as well. Apologies, guys.