Again, the combination of charger/battery should perform the same way on both
devices, wall wart or computer. If it doesn't something is wrong with one, or pssoibly more, of the four pieces involved. The lack of which models are involved and the capacity of the wall wart being unknown are factors that muddy the water and make any real diagnosis difficult at best.
I routinely charge 280mah
batteries on a 2 amp, 2000ma, wall wart without a problem. The internal current limiting of the charge adapters, at least in halfway decent quality charge adapters, will control how much current goes to the battery to prevent any overcurrent charging. Think of it the same way that the lighting circuits in your house can provide well over 2000 watts but a 60 watt bulb doesn't blow out from that high supply capability.