As to the first point, we may take it that one household of five would be the least, ten would be the most, to be present under the roof of an isolated family; but we must remember that the Middle Ages contained in their social system a conception of community which not only appeared (and is still remembered) in connection with monastic institutions, but which inspired the whole of military and civil life. To put it briefly, a man at the time of the Conquest, and for centuries later, would rather have lived as part of a community than as an individual householder, and conversely, those indices of importance and social position which we now estimate in furniture and other forms of ostentation were then to be found in the number of dependants surrounding the head of the house. A merchant, for example, if he flourished, was the head of a very numerous community; every parish church in a town represented a society of priests and of their servants, and of course a garrison (such as Wallingford pre-eminently possessed) meant a very large community indeed. We are usually safe, at any rate in the towns, if we multiply the known number of tenements by ten in order to arrive at the number of souls inhabiting the borough. To give the Wallingford of the Conquest a minimum of 5000, if we were certain that 500 (or, to speak exactly, 491) was the number of single units of taxation within the borough, would be to set that minimum quite low enough.
The second difficulty is that of establishing the meaning of the word “haga.” In some cases it may represent one single large establishment. But on the other hand we can point to six which between them covered a whole acre, and no one with the least acquaintance of mediaeval municipal topography, no one, for instance, who knows the history of twelfth-century Paris, would allow one-sixth of an acre to a single average house within the walls of a town. A close would have one or more wells, it is true; some closes certainly would have gardens, but the labour of fortification, and the privilege of market, were each of them causes which forbade any great extension of open spaces, save in the case of privileged or wealthy communities or individuals.
From what we know of closes elsewhere, it is more probable that these at Wallingford were the “cells” as it were of the borough organism. A man would be granted in the first growth of the town a unit of land with definitely established boundaries, which he would probably enclose (the word “haga” refers to such an enclosure), and though at first there might be only one house upon it, it would be to his interest to multiply the tenements within this unit, which unit rendered a regular, customary and unchanging due to its various superiors, whatever the number of inhabitants it grew to contain.