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Joseph Booth and Brothers of Rodley, nr Leeds were engineers.
1847 January. Jeremiah Booth sold his one-third interest in Balmforth, Smith and Co to his two partners and started on his own account in adjacent works at Rodley - presumably this was the company which became Joseph Booth and Brothers.
1847 company established. It was one of the first to introduce steam cranes and pioneered the introduction of overhead cranes
1888 Three-ton Locomotive Steam Crane for Spanish Railways. 
1897 Incorporated as a Limited Company.
1911 Issued catalogue dealing with cranes and lifting machinery of all types. 
1913 Advert. "Cranes are our speciality". 
1914 Engineers, Crane Manufacturers. Specialities: cranes of all descriptions and sizes operated by electric, steam, hydraulic and hand power, electric capstans, haulage gear etc., electric dynamos and motors etc. 
1919 Servicing of cranes. 
1927 Limited company formed of the same name to take over the business
1935 They acquired Leeds Engineering and Hydraulic Co
1937 Clyde Crane and Booth was formed, to acquire the whole or any part of Clyde Crane and Engineering Co and Joseph Booth and Brothers and to carry on the business of crane and girder manufacturers and engine builders.