1851
HO107/2294/583/37.
daniel fearnley age 45. b. mirfield. occ. labourer.head.
marian age 41. b. heckmondwike. wife.
charles age 17. b. kirkheaton. occ. coal miner.son.
sarah age 13. b. ditto. occ. doubler. daughter.
betsey age 6. b. ditto. daughter.
hannah age 4. b. mirfield. daughter.
samuel fearnley age 66. b. mirfield. occ. labourer. lodger.
living at helm common,kirkheaton,yorkshire.
so charles is a possible father of louisa.
but you would really need louisa's marr cert to know for sure.