My sister used to work for the Muslim Women Resource Center on Devon St. She used to teach computer classes there and did some other programs, and the women she met through there were awesome. I think kids also stop by there to use computers after school etc. Women loved this place since there were no men, all the staff is female too. Here is a link to their programs.
Programs
There is another called Indo American Center Chicago. My mom used to go there to prep for citizenship questions. Here is a link to their programs.
IAC Services
These are the only two off the top of my head. You can call and find out if they work out for you. I am sure there are plenty more organisations like that.
Sorry Niksik to hijack your thread. Now carry on 