Joseph Bancroft (1803-1874) began manufacturing cotton cloth at a small mill in Rockford, Delaware, just north of Wilmington, on March 25, 1831. The mill was built to take advantage of the Brandywine River's water power, and Bancroft adopted the traditional British spinning and weaving technology for use in his operation. The firm expanded steadily during the 1830s and 1840s as it began to produce cotton for both the Philadelphia and New York markets. In the late 1840s, Joseph Bancroft brought his two sons, William Bancroft (1825-1928) and Samuel Bancroft (1840-1915), into the business, assuring that the company would remain a family enterprise. During the Civil War, when the American market was largely closed to English imports, the Bancroft firm, like most other U.S. textile companies, prospered. After the war, the company developed a new bleaching process and began to concentrate on finishing cotton cloth. The firm was incorporated as the Joseph Bancroft & Sons Company on October 1, 1889.

The company purchased the Kentmere Mills adjoining their property on the east in 1895 and concentrated manufacturing there, while the old Rockford property was devoted to bleaching, dyeing, and finishing. In 1910, the Bancrofts purchased a third plant at Reading, Pennsylvania, and incorporated the Joseph Bancroft & Sons Company of Pennsylvania on May 28, 1911.

Subsequently, all manufacture was concentrated at Reading, with the Wilmington facilities devoted to bleaching, dyeing, and finishing. In the spring of 1925, the Bancrofts purchased a controlling interest in the Eddystone Manufacturing Company, another cotton manufacturer, and secured 100% control in 1929. The Eddystone Plant was converted entirely to the printing of cotton and linens, and a rayon finishing plant was installed there in 1930.

As new synthetic yarns came into use, Bancroft expanded into those fields. In 1936, it established its Research Department at Wilmington under Dr. Arnold L. Lippert (1910-2004). Its first success was trademarked as "Everglaze," originally the production of a durable finish on glazed chintz, but later used to create permanent-press fabrics. Bancroft began a program of licensing its patents and trademarks in 1938. In 1953, it purchased the rights to a process for crimping yarn from Alexander Smith, Inc. and successfully applied it to nylon to create "Ban-Lon," which became popular for outerwear, swimsuits, sweaters, and hose. "Ban-Lon" and "Everglaze" were the mainstays of the company in its later years.

Around 1947, Bancroft acquired two additional companies, Wm. Simpson, Sons & Co., a converter, and Albert D. Smith & Company, Inc., which had been Bancroft's sales agent for book cloth, window shade cloth, and industrial fabrics, and which they also manufactured on their own account. However, Bancroft remained primarily a finishing company, and as such, found it harder to compete with large, vertically integrated textile companies. It liquidated its manufacturing operations at Reading in 1957.

By 1960, the Research Department, which handled both research and licensing of products and trademarks developed by Bancroft, was the only viable part of the business. The company considered changing the name of the parent firm to Joseph Bancroft & Sons Research Company and spinning off the manufacturing units to a new subsidiary for a tax loss. When this proved too risky, the entire business was sold, and Joseph Bancroft & Sons Company became a wholly-owned subsidiary of Indian Head Mills, Inc., of Massachusetts in September 1961. With continued erosion of the Northeastern textile industry, the plant became increasingly unprofitable. Indian Head Mills, Inc. became a conglomerate called Indian Head Inc. in 1966, and the finishing plant was put up for sale in 1972. It was purchased by the Wilmington Finishing Company, composed mostly of Bancroft department heads, on June 4, 1973. Indian Head Inc. sold the Joseph Bancroft & Sons Company, which by now was reduced to the licensing operation, to Beaunit Corporation in February 1975. Finishing at the Rockford site ended in 1981, and the plant was redeveloped as a condominium complex.