The Holyhead Road, Vol 2 by Charles G. Harper

There are said to be no fewer than a hundred and forty different ways of spelling the name of Birmingham, all duly vouched for by old usage; but it is not proposed in these pages to recount them, or to follow the arguments of those who have contended for its derivation from “Bromwicham.” It is singular that in the first mention we have of the place, in Domesday Book, it is spelt “Bermingham,” almost exactly as it is to-day, and this lends much authority to the view that we get the place-name from an ancient Saxon tribe or family of Beormingas.
When the original Beormingas, the Sons of Beorm (whoever he may have been), settled here, in the dim Saxon past, they founded better than they knew; but they chose a hill-top, a place where no river runs, unless we choose thus to dignify the little stream called the Rea. This lack of watercourses mattered nothing at all to mediæval Birmingham, but when, in spite of all disabilities, the place rose into commercial importance, the want began to be severely felt, and herculean have been the efforts in modern times to effect a proper water-supply.