| Surname | First | From Townland | From County | Remarks |
| O'Hehir | Morrogh | Clare | ||
| Ny Hanley | Finolla | Ballymoyleene | Roscommon | Alias Carrilly |
| Hore | Matthew | Dungarvan | Waterford | |
| ny Harra | Sisly | Sligo | Alias Connor | |
| Hore | Philip | Ballysillhan | Wexford | |
| Hernan | Daniel | Clare | ||
| Holcroft | Richard | Clare | Honora, his wife | |
| McHugh | Laghlin | Galway | ||
| Hill | James | Ballybegg | Meath | |
| Hovenden | Thomas | Garan McStephen | Mayo | |
| Hurley | James | Tulraion | Clare | |
| McHugh | Daniel | Clare | ||
| O'Heyne Fitz Donnogh | Terlagh | Drumcurren | Clare | |
| Hay | Anthony | Wexford | ||
| Hay | Edward | Cloony | Meath | |
| Hopkin | Honora | Westmeath | ||
| McHooge | Jonack McHubert McThomas | Galway | ||
| Hiffernan | Dorothy | Tipperary | ||
| Hohir | James | Clontibanuffe | Clare | |
| O'Heyne | Flann | Galway | ||
| O'Heyne | Edmund | Galway | ||
| O'Heyne | Owen | Galway | ||
| O'Heyne | Hugh Boy | Galway | ||
| Hamond | Lawrence | Trym | Meath | |
| Higgin | Honora | Bonagher | Galway | Daniel Higgin, her son |
| Hussey | Walter | Cappabegg | Kildare | |
| Hora | William | Tamon | Wexford | Late of |
| O'Hehir | Mortogh | Lisquaine | Clare | |
| Hurley | Sir Morris | Killdaufe | Limericke | Knight and Baronet, and Dame Lettice Hurley, his mother |
| Hovenden | Alexander | Limericke | Ellin, his wife | |
| O'Heyne | Tirlagh | Galway | ||
| Hiffernan | James | Michellstowne | Limericke | |
| Hiffernan | Miles | Cloone William | Tipperary | |
| Hovenden | Thomas | Garry McStephen | Mayo | |
| Hore | John | Dungarvan | Waterford | |
| Cheevers | Ellin | Wexford | Alias Butler, Philip Hore and Katherin Elizabeth and Ellin Cheevers | |
| Hogan | Edmund | Youghall | Tipperary | |
| Hennessy | William | Ballysteale | Corke | |
| Halloran | Jonacke | Jamestowne | Leitrim | Late of |
| Hurley | Morris | Annagh | Tipperary | Minor, son and heir ofJohn Hurley |
| Hadsor | John | Cappog | Lowth | |
| Hay | Edward | Cornwall | Wexford | |
| Hyre | Nicholas | Ballinekillye | Wexford | |
| Higgin | Edward | Gurteene | King's | |
| Hayes | Teig | Ballyduffe | Corke | |
| O'Hyne | Bryan | Aggard | Galway | |
| O'Ayne Fitz Edmond | Owen | Galway | ||
| Hurlye | Sir Morris | Killduffe | Limerick | Knight and Baronet |
| Hoath | Katherine | Killcornan | Galway | Alias Burke and Thomas Burke, her son |
| Hackett | Tibbott McMoyler | Cloonye | Galway | |
| O'Heyne | Flan | Ballyheaie | Galway | |
| Hind | George | Killroy | Roscommon | |
| Hoghagan | Margarett | Galway | Alias Flynn, widow | |
| Hogan | Joane | Tipperary | Widow of Murtagh Oge O'Hogan and Phillip Hogan, son and heir of the said Murtagh | |
| Hussey | James | Glinske | Galway | |
| O'Hehir | Morrogh | Garrynegree | Clare | Una, relict of Donnogh McConnor O'Hehir |
| Higgin | William | Carrowkill | Galway | |
| Higgin McHugh | Thomas | Killcloony | Galway | |
| Hopkine | Edmond | Lacka | Galway | Alias Bokine |
| Hanly | Mortagh Moyle | Crrowreagh | Roscommon | |
| Hosty | Moyler | Kilmaslina | Galway | |
| Hickey | Daniell | Ballihicky | Clare | |
| Hanly | Uny | Carrowcromine | Roscommon | Widow and relict of Rory Hanly |
| O'Hehir | Edmond | Cahuloghan | Clare | |
| O'Hanly | Gillerinew | Corry | Roscommon | |
| Hanan | Hugh | Sunagh | Galway | |
| Hanin | Nicholas | Castleheyny | Galway | |
| O'Hehir | Matthew | Corke | ||
| Hanly | Katherine | Killtrustan | Roscommon | |
| Hogan | Thomas | Ballyvaghan | Tipperary | |
| Hogan | Donnogh | Ballyrustine | Tipperary | |
| Hogan | John | Curraghtemple | Tipperary | |
| Hogan | Melaghlin | Gormaskehy | Tipperary | |
| Hogan | Donnagh McKennedy | Ballyristin | Tipperary | |
| Hogan | Gabriel | Youghall | Tipperary | |
| McHugh | John | Clonecumer | Tipperary | |
| Hogan | Dermott | Cranagh | Tipperary | |
| Hind | Katherine | Bullohell | Galway | Alias Nelly |
| Hogan | Hugh | Clare | ||
| O'Hanly | Hugh Oge | Dowbaran | Ardmagh | |
| Hanrahan | Margaret | Clare | ||
| Hanrahan | Bryan | Clare | ||
| Hogan | James | Killkeedy | Clare | |
| Hogan | Mortagh | Tomona | Clare | |
| Hogan | John | Meagherry | Clare | |
| Hogan McTeig | Mortagh | Magherinraghmin | Clare | |
| Fitz Harris | Thomas | Waterford | Mary, his wife | |
| Hore Fitz Thomas | James | Dungarvan | Waterford | |
| Hope | Alexander | Ballyneferagh | Westmeath | |
| McHugh | Donnogh | Galway | ||
| Morris | Harvey | Tipperary | Esq. | |
| O'Hanly | Laughlin McTumultagh | Cloonegashell | Roscommon | |
| Haly | Margaret | Lymerick | Widow | |
| Hore | James | Dungargvan | Waterford | |
| Fitz Harris | Thomas | Margaret, his wife | ||
| Hore | Matthew | Mary, his wife | ||
| Hanly | Margaret | Roscommon | Alias Gillgully and Hugh, her son | |
| O'Higgin | Owen | Galway | ||
| Hanrahan | John | Clare | ||
| O'Hanly | Daniell | Clonegeragh | Roscommon | |
| Hogan | Patrick | Kilnemanagh | Clare | |
| Hearne | John | Tirehane | Galway | |
| ny Hanly | Mary | Ballymaly | Roscommon | Dowaltagh, her son |
| O'Hogan | Hogan | Graige | Tipperary | |
| Hicky | Honora | Clare | Alias McNemara, relict of Donnogh Hicky and James, her son | |
| O'Hara | Charles | Slate | Antrim | Alias Cahill, late of |
| Higgin | Finola | Coolecoile | Sligoe | |
| Higgin | William | West Meath | ||
| Fitz Harris | Thomas | Wexford | ||
| Hadsor | John | Cappage | Lowth | |
| Hill | Richard | Ballybegg | Meath | |
| Haden | Edmond | Moynard | Tipperary | |
| ny Heher | Any | Clare | Relict of Owen O'Heigher | |
| Heigher | Inniduff | Alias Cae and William, her son | ||
| ny Heigher | Una | Clare | Relict of Bryan O'Heigher and Slany O'Heher | |
| O'Heigher | Connell | Clare | ||
| Hay | Edward | Grogan | Wexford | Alson Hay |
| Hallurane | Morris | Lymerick | Margaret and Katherine Long, orphans | |
| McHooge | Thomas | Galway | ||
| Hore | William | Tomona | Wexford | Late of |
| Hore | Christopher | Wexford | ||
| Hore | Margarett | Wexford |