I had a look for baptisms in Co.Meath, Ireland for the children of William SWAN:
[meath.rootsireland.ie/quis.php?page=0&prevStartQuery=0]

9 matches for the search criteria: swan (plus variants) 1844-1864
Action Source Surname First Name Year County
Church Baptism Swan Anne 1853 Co. Meath
Church Baptism Swan Jane 1851 Co. Meath
Church Baptism Swan William John 1857 Co. Meath
Church Baptism Swan Joseph 1850 Co. Meath
Church Baptism Swan Mary 1850 Co. Meath
Church Baptism Swan John 1849 Co. Meath
Church Baptism Swan Thomas Patrick 1859 Co. Meath
Church Baptism Swan James 1861 Co. Meath
Church Baptism Swan Mary 1847 Co. Meath

You need to register with your email address and password to view the free index, and then pay to see the actual entry, which I assume would also have the mother's name, and possibly address and/or other details.

Inchmore in Dublin does not appear to have been added to the index as yet.

There are three marriages for William Swans in the 1840s, so you need the mother's name from Anne's baptism to find the right one to put in the advanced index search:
Church Marriage Swan William 1846 Co. Meath
Church Marriage Swan William 1842 Co. Meath
Church Marriage Swan William 1849 Co. Meath

Sue