Sounds like you got a Wheat light battery??? They were still in use when I worked in the mines. Is it red plastic and does it have two little windows with holes to put the acid??? If so that is a 4 volt Koehler Wheat battery. If the head piece has what looks like a key slot for the charger you have a 5100. If it has a clear red ring on the lens and a slide on type charger it's a 5200.
As far as the battery goes they always said you could get 14 hours out of them but I never had one do it. Also, it matters what bulb you use. In the 70's/80's those lights got popular with coon hunters. Later in the mid 80's several companies offered brighter bulbs. You got less run time with the brighter bulbs. The standard bulb should be a BM30.
I would suggest you draw out the water and get the cells as dry as you can, then inject some electrolyte. There used to be some outfits that offered more powerful electrolyte that was supposed to be for rejuvenating cold ar batteries. If you can find some of that it's even better as it is nothing more than stronger electrolyte.
I am curious which light you have...let us know if it's something different than what I described.