Malachy Quigley was shown to be occupying land in the townland of Knockanoura, Clooney-Quin Parish in the Tithe Applotment Books of 1825. In the absence of Census Records for that time period in Ireland the Tithes act as a Census Substitute in that it lists the head of household ineach townland who were subject to the Tithes or Taxes. The next Census Substitute was the Griffith's Land Valuation of 1855 where a Thomas Quigley was shown to be occupying land in Knockanoura, Clooney-Quin Parish. It's highly probable that this Thomas is the son of Malachy who would have inherited the land when Malachy died and probably a brother of your John Quigley who married Ann Melvern.
Thomas Quigley married an Anne Pilkington and they had at least 4 or 5 children, John 1860, Bridget 1864, Mary 1866, Ellen 1868 & Eliza 1870. The family was still living in Knockanoura in 1901, see Census on the Clare Library website www.clarelibrary.ie
. Thomas was dead by then as his wife Anne was shown to be a widow, and living with her was John, Bridget & Ellen. It would appear that John, Bridget & Ellen never married as they were all shown to be still single 10 years later in the 1911 Census.That leaves Mary & Eliza who may have married or may have died.
The oldest church records available in Co.Clare are for Clooney-Quin Parish which date back to 1816 so you are in luck there and may be able to hire a microfilm copy of the records from your nearest family history centre FHL British Film No.926096 births 1816 to 1880 and marriages 1833 to 1880.
Hope this information helps you in yor resarch.
Regards from Co.Clare Your Ancestral Home.