The Grammy Award for Best Female Country Vocal Performance was first awarded in 1965, to Dottie West. The award has had several minor name changes:
From 1965 to 1967, the award was known as Best Country & Western Vocal Performance - Female
In 1968, it was awarded as Best Country & Western Solo Vocal Performance, Female
From 1969 to 1994, it was awarded as Best Country Vocal Performance, Female
From 1995 to 2011, it was awarded as Best Female Country Vocal Performance
The award was discontinued after the 2011 award season in a major overhaul of Grammy categories. From Wikipedia