Answer:
I guess the school you are talking about is The Chicago School of Professional Psychology. It is accredited by the Higher Learning Commission of the North Central Association of Colleges and Schools. The accrediting agency is also listed on CHEA (Council of Higher Education Accreditation) and the online school directory which pre-screens schools and only lists accredited school has the record of this school as well, so it should be a legitimate school.
You can double check with the accrediting agency to see if this school is really accredited by them.