These "funny" but contrived names are all very well. But back then, when a dame was a dame and a dollar was 3 to the pound, the Manchester brewery Chester's brewed a mild. Mild was USUALLY the cheaper, weaker beer favoured by decent working folk. But Chester's was brewed thick and strong- and tasty too. It was not at all unknown for a reputable bloke to go out for a genteel night's drinking, have a couple too many of Chester's, and end up in the cells. Hence it's monicker- Chester's Fighting Mild.