Population figures vary widely. Some are for just Kirkby, some for the combined parish area.

Year	Inhabitants
1801	123
1811	168
1831	136
1841	124
1871	438
1881	374
1891	353
1911	337

• The book: E.A. Wrigley and R.S. Schofield, (Eds.). The Population History of England, Cambridge Univ. Press, 1989, is the standard text on the historical demography of England, based on many years of work by the Cambridge Group for the History of Population and Social Structure. A book which draws very usefully on this research, in order to study family and community in England after the Middle Ages and before the changes brought about by the Industrial Revolution, is: P. Laslett. The World We Have Lost: Further explored, London, Routledge, 1983, 353 p.
• The Vision of Brtain site has a number of population graphs and charts. Note the site has undergone changes, you may need to hunt!

• Statistics on the population of the British Isles (archived copy).
• Histpop, the online historical population reports website, in its census section provides access to all the published population reports for Britain and Ireland from 1801 - 1937. The site has a huge amount of statistical information both at a county level and at a parish or district level. There is no personal information on the site.
• Comparative Account of the Population of Great Britain in the years 1801, 1811, 1821, and 1831. House of Commons (19 October 1831) 432pp. (Provides parish-level population counts, for England, Wales and Scotland.)