The last name MacKenzie is spelled MacCoinnich (son of Coinneach) in Scottish Gaelic.
Caitlin is the proper way, the Irish way which is were the name Caitlin originated from. There are other ways but Cailitn is the proper/original spelling.
Anraí
You don't. Cheyenne is a non-Gaelic, proper name and, as such, has no Gaelic spelling.
McKensie or McKenzie
Mag Shamhráin is the Irish spelling.
The Irish spelling of 'Sheila' is Síle. It is originally derived from Cecilia.
Irish is the proper adjective for Irish, as in "Irish dancing," "Irish jig," or "Irish bar."
It's probably Irish. It looks like an anglicized spelling of Pádraig. But most Irish Patricks have adopted the English spelling.
As its not an Irish name there would be no Irish spelling for it
LEPRECHAUN - one of the small mythical Irish people
Ó Dubhshláine is the Irish spelling.
The Irish spelling is Ruairí; the Scottish spelling is Ruairidh.