Green’s Dictionary of Slang

a euph. for Hell; thus phrs. all to ballyhack, go to ballyhack.

1841–42		T.W. King Journal Of A Voyage Around The World 181: How much more polite than the abrupt ‘Go to Ballyhack!’ which is exceeding rude.
1845		W.T. Thompson Chronicles of Pineville 77: It was just the easiest thing in the world for him to blow all Sammy Stonestreet’s cherished notions to Ballyhack.
1890		Bird o’ Freedom 1 Jan. 1/1: ‘And what did you think of it in London?’ ‘Begorrah!’ came the reply, Pat—‘I thought the orchestra was bally wake!’.
1905		‘Central Connecticut Word-List’ in DN III:i 3: ballyhack or ballywack, n. To go to Ballyhack is to go to hell.
1909		W.E. Curtis One Irish Summer 286: I have often been told to ‘Go to Ballyhack,’ and many a time I have heard people wish that somebody they were offended at might go there.
1921		Dos Passos Three Soldiers 280: ‘But what about the Sorbonne?’ ‘The Sorbonne can go to Ballyhack.’.