Hello Liznel,
Do not know if you have this family certainly looks like your Martha Rush.
1881 census, 30 Connel Park, New Cumnock, Ayr.
James Rush, Head, Coal Miner, M. age 45 years, M. born Ireland,
Mary Rush, Wife, M. age 43 years, F. born Ireland,
James Rush, Son, Coal Miner, U. age 16 years, M. born Ireland,
Charlotte Rush, Daur, Scholar, U. age 12 years, F. born Ireland,
William Rush, Son, Scholar, age 10 years, M. born Ireland,
Jane Rush, Daur, age 8 years, F. born Auchinleck, Ayr,
Agnes Rush, Daur, age 6 years, F. born Auchinleck, Ayr,
Martha Rush, Daur, age 4 years, F. born New Cumnock, Ayr,
John Rush, Son, age 2 years, M. born New Cumnock, Ayr.
The Mothers maiden name is Young, you can get that by daughter Janes birth 1873 on the IGI.
The Three childrens births in Ireland, James, Charlotte, and William, are again on the IGI, in Antrim, again to the same parents.
Regards
Jonn.