Interesting to note that K.D.Radcliffe is still in business at 150 High Street,Colchester! Radcliffe claims to have been established in 1787. For close to 40 years, a 12.G by Radcliffe has been a constant companion in the field. Despite the name this particular gun likely started life at Wright,s of Birmingham,maker of many Churchill box locks.
Returning to Bales, according to the late Howard L.Blackmore, Bailes/Bales are of the same family. William Bailes is credited with inventing soldered double barrels circa 1740. Guns made by Bailes in the 1700,s are noted for their silver mounted Chinoisery decoration. An example of his work c1760 is to be seen in the collection of the Royal Armouries, Tower of London.
Unfortunately I was unable to trace the Bailes/ Bales link to Colchester.
