Thank you for your post to the Ireland Reaching Out message board. I will pass on your query to several of our Tipperary volunteers who may be able to help.
There are several resources that you might find interesting and helpful:
You mention the parish of Killaloe which bordered County Tipperary and adjoins the parish of Ballina. It is worth looking at both areas for family as often there was some moving back and forth. The Clare Library website has a lot of very good resources available online and you may find something there which is helpful. The parish registers have been transcribed and they may be worth looking at. The link to Killaloe parish is below:
The above link will give you a list of what's available for Killaloe.
Another website that you may find useful is the Tipperary Studies Website. This is similar to the Clare Library as it has quite a lot of online sources available and in particular, due to your comment of the early 1800s, a lot of gravestone transcription work done. This may be useful to you in trying to narrow down the location and the family of the Hayes'.
You can look through the various sections that the website holds and you will note that there is a specific section for Genealogy. If you scroll down to the bottom of that, you can see the Graveyard Inscriptions and click on the link.
If you need any further assistance, please let us know.