On a recent trip to Washington DC, I grabbed a few minutes atthe Library of Congress.I was able to copy the info on Tunneys from only Volume 1 of "The Famine Immigrants 1846-1851 Lists of Irish Immigrants Arriving at the Port of New York" Genealogical Publishing 1983; Ira A. Glazier, Editor; Michael Tepper, Associate Editor -- Hopefully I'll get further on my next trip tothe capital.
Here are all the Tunney (and spelling variations) I found in Volume 1:
Page 287 Ann Tunuy, age 22, female, a servant arrived 11 Nov 1846 from Liverpool on the ship Rappahanock.
Page 382 Pat Tunney, age 30, male, a laborer arrived 3 April 1847 from Liverpool on the ship the Colonist
Page 433 John Tunney age 25, male, a laborer arrived 15 April 1847 from Galway on the ship Cushl Amachree
Page 434 John Tunney age 18, male, a servant arrived on the ship Oxford from Liverpool on 15 April 1847.He is listed with:
Rose Tunny, age 16, female, a servant (Note:although they are listed together, there is no indication of their relationship if any.)
Page 543 Michael Tunny, age 21, male, a laborer, arrived on the ship Walkella from Galway on 24 May 1847
Page 435 Patrick Tunny, age 60, male, a farmer arrived on the ship Oxford from Liberpool on 15 April 1847.He arrived with:
Thomas Tunny (son) age 22, male, farmer William Tunny (son) age 20, male a farmer
Page 287 Ann Tunnay, age 37, female, no occupation listed arrived on the ship Rappahonock from Liverpool on 11 November 1846(see above Ann Tunuy, age 22 who also arrived on that ship that day -- ???)
Page 489 Jane Tuny arrived on the Montezuma from Liverpool on 14 May 1847.Missed the info on age and occupation -- will get it next visit.
I'll be adding to this info on return visits to Washington DC.Hope it is of help to my fellow researchers.