Something tells me it doesn’t look anything like the picture that KC posted given this description.
It is a 1908 Dockash made my Scranton Stove Works (Scranton, PA)
The kicker for me here and what makes me wonder is that runs on kerosene...
A 1908 cooking stove + kerosene + Scranton, PA …… doesn’t add up for me.
Even in 1908 cooking with kerosene would have been expensive.
In 1908 coal and wood was easy to acquire and at very little cost.
Scranton, PA, has been a monster coal producing area for a long, long, long time.
Thus the pictured stove was surely made with "coal" grates in the fire-box.
In a "wood only" burner the grates are about as thick as one's little finger.
But a "coal/wood burner" the grates are made different and are as thick as the base of one's thumb.