[3] In 1939 May Co. acquired majority control of another Cleveland store, William Taylor Son & Co., which maintained a separate identity until 1961.

The company also constructed a nine-story warehouse (six stories tall, with three sub-basements) attached to the south side of the Cedar Center Store, designed to handle furniture distribution for Cleveland's eastside.

May Company was the first local department store to issue its own personal charge card, announcing it on July 16, 1966 in a Cleveland Plain Dealer article, breaking away from being part of the Department Stores Charge Plate (a metal card that was notched for each store and used at all participating members which included William Taylor Son & Co., Bailey's, Sterling-Lindner-Davis, The Higbee Company and The Halle Bros. Co.) Higbee's and Halle's continued to remain part of this system until they each issued their plastic charge cards respectively in 1969.

[10] Bedrock-Detroit, a real estate company co-founded by Dan Gilbert, bought the May Company Building on Public Square in 2017 for $12 million (~$14.7 million in 2023) and now has plans to convert it to 308 apartments, almost 600 interior parking spaces, retail stores and rooftops for entertainment and green areas for residents' use.

Construction work began with Bedrock’s $180 million plan to convert the structure to 307 apartments, over 540 [BL3] interior parking spaces, retail, and amenities.

The property also boasts luxury-style accommodations, indoor parking, and access to downtown Cleveland, serving as a gateway to a host of activities in and around the area.