Well, I guess you can start with wikipedia.
http://en.wikipedia.org/wiki/ChanelI'm have to do a report on a famous designer as well for my Concept Design class. My designer is Dior.
Have you tried and intensive web search using Google? If not, you should. One thing to be forwarned about is that alot of information pertaining to a person can not be validated through on credible source on the internet. I also suggest you check out your local library for more resources. I found the information they had there on my designer to be more helpful than what I found on the internet.