Sharp Camcorder VL-NZ100E battery doesn't seem to charge
2.7 volts is too low. Usually camcorders use battery at least 6 volts. Problems with rechargeables especially NiCds and NiMH, a cell will be shorted. for 6 volts pack, there are 5 cells in series (5 pcs x 1.2 volts with load , 1.35 no load). If you are measuring only 2.7 volts, it is highly possible that 3 cells are dead.
As for the charger, if the same charger is used to power the camcorder and you said the the camcorder operates using the adaptor, this means that the charger is OK.
You can ZAP the battery back to life but I will not recommend. It can be dangerous. If you can buy the battery, I suggest you do it since the old battery, even when zapped, will not provide enough juice anymore.