Think you might be lucky, according to www.rootsireland.ie there is only one Alice Moloney born in 1846, Croom, Limerick.
Arri Sendzimir (k2b1a3)
Unfortunately it is not a free site but they have most Irish records, you could try and find the same maybe on www.familysearch.org or even try the Limerick archives at http://www.limerick.ie/archives/ just type in the surname and see what comes up, take note of different way of spelling Moloney or Maloney
Here are Irish Family names I am researching:
Ryon, Rian, Rians in Tennessee 1790 - From ?
Henri, William Simpson Ryon, Polly Rians Travis.
McCausland. McCasland William and wife Eleanor McCullough 1758 indentured servant possible related to Hugh and McCullough Capts that brought indentured servants to America
Martin Walsh son of Bridget McGough and Martin Walsh bn circa 1865
Ballintober Parish, Mayo, Ireland