noun
home and country
Refers to one's household and nation together, often in a patriotic or familial context.
彼は家国のために戦った。
He fought for his home and country.
noun
home town
Rare usage; can refer to one's hometown or native place, but more commonly expressed as 故郷 or 地元.
彼は家国を離れて都会で働いている。
He left his hometown and works in the city.