Marketing research is typically used to help a marketing department make improvements to a good or service, or the way a good or service is advertised. Examples of common marketing research surveys are new product concept tests and print ad concept tests.

Market research is more often used to gain a "snapshot" of a particular market. For example, a market research survey of the home television market may report the typical gender, age, income level, and psychographic profile of home television buyers.

In case you want learn more about the difference, or need a market research company to conduct either marketing research or market research, check out the companies below.
They are both very well known, respected companies in the field of market research.
http://www.infosurv.com/b2b_market_research.htm
http://www.acnielson.com