I have not found any info on the Rochester hot blast or any tubular lantern made by them. There are tidbits on the Rochester Lamp Company if you google it. They went out of business in 1892 and their center draft lamps were continued by the Miller Co. and by Bridgeport Brass Co. I think something similar happened here. I asked for the picture of the bottom because of the Beaded Fount.
The bead in the fount side, at the start of the bottom skirt, is a hold-over from the previous design that used the bead recess to solder-on the bottom. The soldered bottom was replaced by the rim-rolled bottom (we see here) around 1901-1902 by most manufacturers. The bead remained as decoration for several years after losing its function. Dietz started rolled bottoms in 1901, but phased-out the fount bead on the Blizzard in 1912, the HY-LO in 1913 and the Monarch in 1914. I checked my Rochester and it also has the plain rolled bottom. Therefore, I would date these lanterns 1903-1911. Although they used the Rochester name, the real manufacturer is a mystery. It's a great rare find in any case, but finding a Rochester zero globe is way harder than finding two Winfields.