Why is my Mac not Charging Correctly?

So I recently acquired a used Macbook late 2008 aluminum. I purchased it in the hopes that I might be able to fix it, as it does not seem to want to charge. Here are some details that have made me think it is still possible to fix:

• The 85 Watt T-Shape Magsafe connection has a faint green light
• The laptop claims to not be charging, but has a positive amperage ranging from 90~140 mAh
• The battery percentage does not lower, but retains charge when plugged in during normal use
• The battery will in fact charge in small amounts when left to idle

What I have tried in order to fix it:

• Cleaned the magsafe pins on both the computer and charger
• Reset SMC and PRAM
• Various methods of reseting, and restarting
• I tried removing both sides of the adapter and plugging it back in

Here is the Battery Log File from the system settings:

Battery Information:

Model Information:

Serial Number: W020702JS6GOA

Manufacturer: SMP

Device Name: bq20z951

Pack Lot Code: 0

PCB Lot Code: 0

Firmware Version: 002a

Hardware Revision: 000a

Cell Revision: 100

Charge Information:

Charge Remaining (mAh): 1726

Fully Charged: No

Charging: No

Full Charge Capacity (mAh): 3985

Health Information:

Cycle Count: 58

Condition: Normal

Battery Installed: Yes

Amperage (mA): 119

Voltage (mV): 11368

System Power Settings:

AC Power:

System Sleep Timer (Minutes): 10

Disk Sleep Timer (Minutes): 10

Display Sleep Timer (Minutes): 10

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

PrioritizeNetworkReachabilityOverSleep: 0

Battery Power:

System Sleep Timer (Minutes): 10

Disk Sleep Timer (Minutes): 10

Display Sleep Timer (Minutes): 2

Wake on AC Change: No

Wake on Clamshell Open: Yes

Current Power Source: Yes

Display Sleep Uses Dim: Yes

Reduce Brightness: Yes

Hardware Configuration:

UPS Installed: No

AC Charger Information:

Connected: No

Charging: No

I think my best bet would be to change the magsafe connector inside the laptop, or resort to just leaving it plugged in to trickle charge. Could it be a bad logic board, and if so is there any recommendation on how to go about cleaning corrosion, or any other issue I might face instead of replacing the logic board right out?

Thanks.