Model #

Is there a different place to find a MacBook's Model No?

I have a 2006 MacBook that has a very tired battery that won't charge all the way, and even when I am plugged in the tool bar says (Not Charging) even though it does charge some. I took it in to have Apple look at it and they said I was not eligible for the battery replacement.

So I am looking for a replacement battery on ebay. Apple wants $128.
None of the Model Nos listed on ebay match mine. They all start with MAXXXX or MBXXXXX
System Profiler says my MacBook Model No. is "MacBook,1,1"

Aren't all MacBook batteries the same?

Hardware Overview:

Model Name: MacBook
Model Identifier: MacBook1,1
Processor Name: Intel Core Duo
Processor Speed: 2 GHz
Number Of Processors: 1
Total Number Of Cores: 2
L2 Cache: 2 MB
Memory: 2 GB
Bus Speed: 667 MHz
Boot ROM Version: MB11.0061.B03
SMC Version: 1.4f12
Serial Number: 4H6280JSVMN
Sudden Motion Sensor:
State: Enabled

Hmmmmm. Surprised none of you forum maniacs knew the answer to this question. Look on the bottom of the MacBook. In tiny print there is a Model No.

Hey, it only took you 24 hours! FYI, your serial number is there too in case you need it.