madra, plural madrai
From what I can find, Madden is an Irish name, meaning; "Descendant of the hound" "Smalldog Milos" "Little Dog"
The Irish Wolfhound is the tallest breed of dog, but not the heaviest.
Irish Setter, Irish Terrier, Irish Wolfhound.
The Irish included in a dogs breed refers to the origin where that breed of dog was first bred. (i.e. Irish Wolfhound, Irish Setter, originated in Ireland).
If you mean in weight : MastiffIN tallness: Great Dane
It's madra trídhathach in Irish.
Irish waterspaniel, Irish wolfhound, Irish greyhound, ibizian hound, Irish setter
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Argus or Gus are Dutch names meaning "watchful or vigilant." these would make good dog names. If the dog is a female, Casey is an Irish name meaning "vigilant.". Of course these are fine human names as well.
No, it is not an Irish name.