There were two Lloyd firms, but this was the earliest and was founded by W. A. Lloyd - see Lloyd Firms
They used their own 2 hp engine and primitive fittings.
Report from the 1902 Stanley Show
Motor Cycling, 26th November 1902
W. A. Lloyds Cycle Fittings Ltd, of Clyde Works, Birmingham.
1879 Established, presumably as W. A. Lloyd and Co.
1897 Name changed to W. A. Lloyds Cycle Fittings
1898-1903 Annual reports in Coventry Archives
1903 Made motorcycles
1905 Made a three-wheeler
1908 Offered men's and ladies' lightweight racers as well as the usual range of Lloyd cycles.
Presumably later became W. A. Lloyds Cycles at Clyde Works, Droitwich (near Worcester).
1940 At the same address was W. A. Lloyd Cycles, maker of "Dreadnought" cycles
W. A. Lloyds Alloys, also of Droitwich, advertised aluminium ladders in the 1960s. This firm was acquired by Birmid Industries in 1965. By then all connection with the motorcycle trade had long ceased.
Source: Graces Guide