Power/Charing MacBook 1.83 Core Duo help

[ThirteenXIII]

Trying to figure out whats up with one of our older MacBooks.
A few months ago the macbook stopped charging batteries, the MagSafe would show a faint green light, though it works with other MacBooks/MacBook Pro 13's.
Put a brand new battery in and it works fine, in this MacBook and other 13" white macbooks. and would charge in them as well.

So essentially the problem is the battery doesnt charge when its plugged in to this particular MacBook.
If I recall the original battery could be charged with this unit and was working for awhile then abruptly it stopped so im not sure if its a DC board issue or the battery board where the battery connects to on the inside and not sure whats the best place to buy parts for this machine since its fairly old yet stillneed to use it.

*EDIT*
Should also state that it works fine when its plugged into the powersource/magsafe however when it gets unplugged the machine shuts down even though the battery is in there.
I can charge the battery fine on another macbook and put it back into this MacBook unit and it works off the battery just fine....

Here is the MacBook info:

Hardware Overview:

Model Name: MacBook
Model Identifier: MacBook1,1
Processor Name: Intel Core Duo
Processor Speed: 1.83 GHz
Number Of Processors: 1
Total Number Of Cores: 2
L2 Cache: 2 MB
Memory: 1 GB
Bus Speed: 667 MHz
Boot ROM Version: MB11.005F.B00
SMC Version (system): 1.4f10
Sudden Motion Sensor:
State: Enabled

Battery Info:

Battery Information:

Model Information:
Serial Number: DP-ASMB013-3b3b-5854
Manufacturer: DP
Device name: ASMB013
Pack Lot Code: 0001
PCB Lot Code: 0021
Firmware Version: 0010
Hardware Revision: 001f
Cell Revision: 7a3e
Charge Information:
Charge remaining (mAh): 1
Fully charged: No
Charging: No
Full charge capacity (mAh): 5146
Health Information:
Cycle count: 2
Condition: Good
Battery Installed: Yes
Amperage (mA): 0
Voltage (mV): 7249

System Power Settings:

AC Power:
System Sleep Timer (Minutes): 60
Disk Sleep Timer (Minutes): 180
Display Sleep Timer (Minutes): 15
Automatic Restart On Power Loss: No
Wake On AC Change: No
Wake On Clamshell Open: Yes
Wake On LAN: Yes
Display Sleep Uses Dim: Yes
Battery Power:
System Sleep Timer (Minutes): 5
Disk Sleep Timer (Minutes): 10
Display Sleep Timer (Minutes):

 

[BigTroll]

hi, i also have your same model of macbook, iam not sure what causes this problem but i have seen lots of macbooks on ebay used with the same thing, i believe its the power managment unit dying and not wanting to charge the battery, unfortunately i don't think theres an easy fix.