It can be any light in the car. Dome, glove box, trunk, under hood, etc. It can also be a relay that is stuck closed. It can also be a dead cell in the battery which will cause it to loose it's charge overnight. Have the battery tested at anyplace that sells batteries.
The battery is under the hood on the driver side in a Dodge Neon.
The starter, on your 1998 Dodge neon, is located near the bottom, back, left side of the engine. You can follow the battery cable from the battery to the starter.
It is on the bottom of the battery tray, under the battery.
check battery if it has water and check the starter
take the terminals off and take the battery out and replace it \
Its in the relay box. Next to the battery.
The group size is 58
Group size 26R.
The switch and fuse housing in front of the battery
A Dodge Neon does not have a distributor.A Dodge Neon does not have a distributor.
From the alternator to the battery should be 14v
disconect the neg. battery cable for 25 seconds