So many names.
One that feels right.

Combination of Giovanni and Luca

Hewer; one who cuts down

Meaning depends on its longer Italian form

God is gracious, when short for Giovanni or Giovanna

God is gracious

Spacious fort

Descendant of Grádaigh

Gravelly homestead

Large; tall

the son of the bailiff

Watchful or vigilant

Traditionally strong lord; also a mythical creature

Will and protection

Warrior, through Gunnar; also an occupational word

Lion; associated with strength

Home ruler, through Henry

Army ruler

Son of Harry

Battle-worthy

Good or handsome

Hedged enclosure; other surname origins vary

Traditionally God sees or vision of God

Heathland or a person living by it

Holding fast