There are lots of good ideas posted here already.
As with the suggestion of Jilly's, I would think that just about any restaurant can arrange just about anything you might be interested in, especially during the afternoon between lunch and dinner, which is an off time for most of them. In addition to Jilly's (good place, BTW), if you anticipate a large number of people (say 12 or more), you might want to look in particular at places with multiple rooms, especially with private rooms available. I know that these places in Evanston all have multiple rooms, and can provide a private room for your group:
Va Pensiero (Italian)
1566 Oak Ave.
Evanston
847-475-7779
http://www.va-p.com/CateredAffair.htm
Campagnola (Italian)
815 Chicago Ave
Evanston, IL 60202
(847) 475-6100
www.campagnolarestaurant.com
Pete Miller's (steaks)
1557 Sherman Ave.
Evanston
847-328-0399
www.petemillers.com
Prairie Moon (American)
1502 Sherman Ave.
Evanston
847-864-8328
www.prairiemoonrestaurant.com
The Woman's Club is indeed a lovely space. Most such spaces which are available for rental can refer you to local caterers who are already familiar with their facilities and layout, etc.