Ancestry.com has a record collection called "Ireland, Select Catholic Birth and Baptism Registers, 1763-1917" This link goes to image 96 of 122 of baptisms in Ballinakill, Laois parish where the March 4th 1813 baptism of John Walsh is recorded.
Digital images of Ballinakill, County Laois records begin in 1820. are also a part of this collection and a source of some records pertaining to the family of William Welch and his wife Bessie Cahill who eventually settled in West Brookfield. The records are unindexed, and therefore must be browsed.
13 April 1823 Mary, D to Wm Walch and Betty Cahill, Sponsors James Phelan and Catherine Hogan. - Clonkeen
Nov 19, 1825 Bapt, William of William Walsh and Betty Cahill, sponsors Tim Hicky and Mary Sommon - Clonkin.
More members of this family may be in one or both of these books and will be added to this post as time permits.