"What is your country's name?" is correct. The possessive form correctly indicates that the name belongs to the country.
what is the name of the country in which your live
You have the name of the country China.
when we remove a letter from a flower name its becomes a country name
The name of the country is Ukraine.
what country did the name gammon originate?
What country did the name Tosches come from?
which country's name means saviour
The name "Munteanu" originates from the country of Romania.
what country did the name crystal came from
What country does the name Travis come from
what was the name of the first country that had a name change