The George Wilson Center in Newark offers a meeting/community room space with small kitchenette.

http://www.cityofnewarkde.us/index.aspx?NID=153

Not sure of your space needs, but the Unitarian church off West Park has inexpensive space in a separate building on the property. Had my wedding reception there a million years ago (1982) and more recently rented it for my daughter's 16th birthday party. My kids' school has also rented it for various events. The church also has meeting space in its main building; I've attended school meetings and piano recitals there.

The Newark Arts Alliance is beautiful, has tables, chairs, wifi, kitchenette, bathrooms, parking, and good people, inexpensively. Also needs your support and new devotees. 302-266-7266.

I'm not sure if this is cheap for you, but this is a new place on Main Street

http://newarkcowork.com/