Leamington, Warwickshire, (Sept. 19. to 21.) has increased one half since we last saw it in 1831, both in population and in the extent of ground covered by streets and buildings. There are a number of suburban and town villas, many commonplace, others ambitious and showy, some rich in decoration, and a few elegant and correct. There is a piece of ground containing about 14 acres, which is intended to be laid out as a public garden, and for which we have made a plan. On a few of the villas, of which we took a rapid glance, we shall say a word or two from recollection.