Does Anyone Have Information on Jenny Jamison of Northern Ireland

Jenny Jamison gave birth to Robert George Davidson on November 4, 1836 in the Northern district of Ireland. Jenny and her childs father George Davidson were of Scottish ancestry. George Davidson was engaged in the shipping industry and lived in Jamaica sometime before the childs birth.

Robert George Davidson immigrated to America in 1853 and worked in the Coal mines bordering PA and OH. Stuthers Ohio has been mentioned. Does anyone have any information on this family?