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This searches the indexes to the Transactions of the Historic Society of Lancashire and Cheshire.

Observations on population statistics. Parts 1 and 2
Author: Welton, Thomas A.
Volume: 21 (1868-1869) Pages: 55-164, tables, graphs. View Volume

On the inaccuracies which probably exist in the census returns of ages
Author: Welton, Thomas A.
Volume: 28 (1875-1876) Pages: 149-172, tables. View Volume

On the population of Lancashire and Cheshire, and its local distribution during the fifty years, 1801-51
Author: J. T. Danson and T. A. Welton
Volume: 9 (1856-1857) Pages: 195-212, tables; 10 (1857-8) pp. 1-36, map, tables; 11 (1858-9) pp. 31-70, tables; 12 (1859-60) pp. 35-74, tables. View Volume