searching for droney's

I am trying to find where in Clare my great great grandmother was from. Her name was Annie Droney born in about 1834. She married Patrick Begley in about 1848-1850, I am not sure if he was from Clare, he may have been from Cork. They had 5 known children, Mary born about 1850 and married a John Crimmins either in Ireland or the USA, Elizabeth born about 1852, Annie born about 1855 and my great grandmother, Michael botrn about 1858 and Martin born about 1860. Annie along with her children Elizabeth, Annie, Michael and Martin arrived in the USA in August of 1868. Patrick and Mary both came to the USA, but i do not know when. I am interested in any information, such as actual birth dates, marriages, parents, relatives, sponsors as well as what parish and townland they lived in. Thanks for any help you can give me.