The c222, c237, and c238, are motherboard manufacturer identifiers, for Capacitor 222, Capacitor 237, and Capacitor 238.
I don't know either, only the mobo manufacturer does.

BUT, I DO KNOW how you can identify the Microfarads, and voltage for each one of these Electrolytic Capacitors! There are many Electrolytic Capacitor manufacturers for electronic components, but each has their own identifying code. Some are easier than others to read their code.

How to identify Japanese Electrolytic Capacitors,
http://www.hardwaresecrets.com/article/595
[Hardwaresecrets.com]
Page 2 and 3 get more to the direct matter of reading the markings for Japanese Electrolytic Capacitors. Page 4 deals with Chinese and Taiwanese Electrolytic Capacitors.

Also want to include this,
How to Desolder Components;
http://www.hardwaresecrets.com/article/164

From me:
1.I advise using a 40 watt pencil tip soldering iron. use the damp sponge frequently also. Keep the tip clean, and tinned. [I use a soldering station now]

2.I grab the capacitor with my fingers, board turned over, and put slight pulling pressure mostly on one lead. Heat one lead, try to pull up just a little, then heat the other lead. Pull up just a little.
Keep going back, and forth pulling the leads out a little at a time. You don't want to keep the soldering tip there too long, or you'll risk burning the board, so don't try taking the 'Cap' out all at once.

Once the 'Cap' is removed, clean the motherboard area. You want a clean circuit trace area, for that rosin solder to adhere to. I use cotton balls, and Isopropyl Alcohol. Try to find the 91%, (Percent), alcohol. (Walmart)

3.You HAVE to match the voltage! You ->can 'fudge' the capacitance a little. (Microfarad)

Example: If you have a 16v, (16 volt), capacitor that is 330μF, you can use a 16v 430μF in it's place. (μF stands for Microfarad)
(Check Radio Shack, and online)