Hi Alan your period is beyond the normal records we use here but I see a number of Temples in Dublin in the 1600s, no Thomas but if you look at church records here https://www.irishgenealogy.ie/en/ you will see baptisms; marriages and burials in the 1600s, select Dublin, civil records only date from 1845 for non Catholic marriages and 1864 for all.
Also there is a list of landowners here both before and after the Cromwellian plantations, there are Temples pre plantations and after so must have backed the winning horse, I only done a very quick search but there are knighted Temples here in 1641 and in 1670, in various spots in the country. http://downsurvey.tcd.ie/index.html
There is a Temple Street in Dublin near the city centre and also a Templetown in Louth on the Cooley peninsula, there is not a town just an area including a beach.
I attended a genealogy lecture by a professional historian and genealogist who said that if you can get back to the 1600s it is often easier to go back to around the year 900, so depending on your branch you may consider seeking a quote, there is a list of professional genealogists on the National Library website, both companies and individuals, there is also a professional body, before contracting they should scope the work and give you a quote but all that is beyond the scope or intention of this site.
The main public records for Dublin are done from Pearse Street Library, https://www.dublincity.ie/residential/libraries/find-library/pearse-str… Online services are available during the current lockdown.
Good Luck
Pat