The purported French boxlock looks to be a Kerner-Anson variant but I don't know. It has had a rough life even after the head of the stock was pinned. I'd say it was a price-point weapon out of St. Etienne. Images of the marks on the flats will point to the gunmaking centre.
I'm not much of a trombone fella, but the Winchester Modell 1897(John Browning design) looks to be one that was produced during demand in WWII and then filtered/pressed into military or police service elsewhere. Then serial number on the underside at the frame/tube juncture will date it.
Kind Regards,
Raimey
rse