 Expansion to the suburbs began in the 1950s, with Sheffield Shopping Center, Lorain in 1953 (originally opened as an O'Neil's store which was a May Company subsidiary and then changed over to a May Company location in 1967) and Cedar-Center Plaza at Cedar and Warrensville Roads in University Heights in late 1956 (known locally as "May's on the Heights").In 1960 a branch was opened at Parmatown Mall in Parma, and another in 1961 at Southgate Shopping Center in Maple Heights (the Southgate store having been originally opened in 1958 by William Taylor & Son Co.).Several mall stores followed in the 1960s and 1970s, including Great Lakes Mall (1964) Great Northern Mall (Ohio) in North Olmsted (1965), Randall Park Mall in North Randall (1976), Euclid Square Mall in Euclid (1977) and Sandusky Mall in Sandusky (1979).