Chang My Name On Marrage Cert

hello,can any one tell me,or advise me,on gthe best way to change my name on a thai marrage cert.i married my thai wife 5 yeras ago.since then i have changed my name by deed poll,so to make it easier for me and my wife too travel i need to change my name on my married cert,me and my wife live in ireland but we will be going back to thailand in november,so can i do this in ireland or can i do it in thailand,any help would be greatly appriciated.