H&R manufactured a series of single barrel, break-open shotguns between 1908 and 1942. They were chambered for various gauges and had various barrel lengths and chokes. There is an assumption that your shotgun is of a vintage prior to 1942 due to not having the auto ejector/extractor.
In 1986, all operations were discontinued by the original H&R company. In 1992, New England Firearms, of Gardner, Mass., began manufacturing new H&R models.
Value on your shotgun, is around $15.00-$20.00. not much of a collector, but I'll bet it would look neat over a mantel.
Will look for the Winchester.