Dottie West 's career started in the 1960s , with her Top 10 hit , `` Here Comes My Baby Back Again '' , which won her the first Grammy Award for Best Female Country Vocal Performance in 1965 .
Her career began in the 1960s with her Top 10 hit `` Here Comes My Baby Back Again '' . That won her a Grammy Award for Best Female Country Performance in 1965 .