10th June 1842 - Entry with Barrett sponsor, not sure if it is "Bernard" or "Richard". It's for a child named Henry. Difficult handwriting to read.
29th May 1842 - same page, possible match for Joseph Barrett as sponsor. Again diffcult to read.
26th February 1843 - Richard Barrett is sponsor for a child of Michael Carey and Rose Barrett. Is Rose another sibling of Richard's? Or I wonder is he just a "go-to" for being a Sponsor? Perhaps not so directly connected? The location here is "Keels" or something like that.
5th May 1843 - Richard Barrett sponsor with Bridget Barrett for a child named Winifred Barrett, daughter of Thomas Barrett and Winifred Lally. This is in Shragh, a location more familiar. I wonder if there was more than one Richard also? Particularly as he appeared earlier with a woman named Mary and is now with woman named Bridget? I'm assuming he and his wife were joint Sponsors.
24th September 1843 - Anne (?)Mally(?), daughter of Edmond and Catherine Coyle. Sponsors Michael Kelly and Mary Coyle. Maybe same Michael who was shop-keeper and father to Daniel born c.1853?
I also forgot to mention the Neal Shevlane and Sally Lally connection for Joseph Barrett's child. Neal was married to Honour Barrett. Michael Shevlane (around same generation as Neal) was married to Anne Barrett. It might be possible that these are different Barrett families, but I suspect Honour is Joseph's sister. I suspect from the other records posted Anne is sister to Richard, Anthony, Rose = Michael Carey and Mary = Anthony Gibbon. This is ambitious but we might just guess that there were the following Barrett siblings:
Richard, Joseph, Anne = Michael Shevlane, Honour = Neal Shevlane, Mary, Rose and Anthony. It is also possible to throw in a Bridget Barrett who appears alongside Richard in one record above. Moreover, it is possible to guess that Neal and Michael were brothers, perhaps with father named Edward whose birth is given online as 1788-1790. Source for that unclear. This is entirely guesswork of course.
This is how far I've gone today, will reprise this in a couple of days time.