Claimants
- Hackett
- Haddock
- Hafford Dolman
- Hafner
- Hagestadt
- Halbert
- Hale
- Hall
- Halliday
- Halligan
- Halpin
- Hamill
- Hamilton
- Hamilton Chapman
- Hamilton Drimmie
- Hamilton Norway
- Hamilton Reid
- Hamilton Wilson
- Hammond
- Hanbury MacManus
- Hand
- Hanley
- Hanlon
- Hanly
- Hanman
- Hanna
- Hannan
- Hannigan
- Hannon
- Hanrahan
- Harbourne
- Harbron
- Harding
- Hardman
- Hardy
- Hare
- Harford
- Hargadon
- Harloe Phibbs
- Harlow
- Harnett
- Harper
- Harris
- Harrison
- Hart
- Harte
- Hartley
- Hartnett
- Hartstonge
- Harty
- Harvey
- Haskins
- Hassett
- Hastings Tweedy
- Hatch
- Hatton
- Haugh
- Haughton
- Hawkesworth
- Hawkins
- Hay
- Hayden
- Hayes
- Hayes O'Brien
- Haynes
- Hayter
- Hayward
- Headon
- Healy
- Heard Pragg
- Hearne
- Heathcote
- Heather
- Heavey
- Heck
- Heeney
- Heeny
- Heerey
- Heffernan
- Heffernan [Hefferann]
- Hegarty
- Heley
- Heller
- Hempenstall
- Hemphill
- Henaghan
- Henders
- Henderson
- Hendrick
- Henebery
- Henn
- Hennessy
- Henry
- Herdman
- Herlihy
- Herra
- Herridge
- Herring Cooper
- Hever
- Hewat
- Hewett
- Hewitt
- Hewson Carroll
- Hickey
- Hicks
- Higginbotham
- Higgins
- Higginson
- Higgons
- Hildige Johnson
- Hill
- Hill Scovell
- Hilliard
- Hingston
- Hipwell
- Hishon
- Hislop
- Hitchcock
- Hitchins
- Hoban
- Hobart
- Hobbs
- Hodges
- Hodgins
- Hoey
- Hogan
- Hogg
- Holahan
- Holcombe
- Holdbrook
- Holland
- Hollwey
- Hollywood
- Holmes
- Holmes Gillinan
- Holohan
- Honan
- Hone
- Honer
- Honner
- Hooke
- Hooper
- Hope
- Hope Hennessy
- Hopkins Jordan
- Hopkinson Phillips
- Horan
- Horchert
- Hore
- Horgan
- Horne
- Horner
- Hosie
- Houghton Fry
- Houlihan
- Hourihan
- Houston
- Howard
- Howarth
- Howe
- Howell
- Howley
- Hudson
- Huendall
- Hughes
- Hull
- Hulland
- Hume
- Hume Fisher
- Humphreys
- Humphries
- Humphrys
- Hunt
- Hunt Grubb
- Hunter
- Hunter Jeffrey
- Hunting
- Huntley
- Hurcomb
- Hurley
- Hurst
- Hussey
- Huston
- Hutchinson
- Hutton
- Hyland
- Hynes