I've had this watch for a while now, and I seem to be at a point in this hobby where I'm sometimes not sure if I've worked on it yet or not...it's all a blur. At any rate, I picked it up in an attempt to compare actual Gallet labeled watches with my Eatons watches, and this one provides some pretty good cross references. It's rather small (the movement is about 38mm across) and based on the case design and the patents, it's probably from the first decade or so of the 1900's. The name on the dial is "Jaeger Bros", which probably has nothing to do with the Jaeger's that went on work with LeCoultre (although the timing is interesting). The case was made by the Philadelphia Watch Case Co, so it was probably a US private label watch.
One of the more interesting things about this watch is the plethora of patent information on it. You can see one patent on the barrel bridge above, and there are two more under the dial:
The one on the barrel bridge is a US patent (701993) which is equivalent to one of two Swiss dial-side numbers (25292). Both it and the third patent # (27958) were registered by William Brack around 1903. The first patent(s) related to a manner of securing the dial via arms that are screwed in from the side (allowing the dial to be precisely and easily centered). The actual watch doesn't really incorporate that (it uses typical side-mounted dial screws that secure dial feet), but it does have little raised guides around the edge of the movement. The second swiss patent simply describes the keyless works, which are brilliantly simple in this watch. They use one formed piece as both the shipper lever and shipper spring, and it's a breeze to work with.
And last with the parts shot; got the lighting messed up, but you get the idea.