The Big List of Names

Hadrian - The dark one or a man from the sea
Helvetia - A woman from Switzerland   
Hibernia - A woman from Ireland.   
Hilary - The cheerful one   
Hilary - The cheerful one   
Honora - Honor
Honour - Honourable
Horace - Hour in time
Horatia - From a Roman family name   
Horatio - Hour in time
Hortense - The garden lover   
Hortensio - The garden lover   
Hortensius - The garden lover