A new charger does not have to be in the same location, but your choice. A good charger will ramp up a discharged battery to 14.6V at maximum amps known as bulk mode , It will hold 14.6V as the amps begin to taper knows as absorb mode then both amps begin to taper down to 13.6V which is float mode, this mode begins at about 85% SOC and can take many hours to reach 100% SOC.
If you have or can borrow a decent auto battery charger you observe the above.
Another important aspect is the distance and size of the wire from the charger and unfortunately wiring is to often inadquate so consider checking.