A strong history of American and Mexican folk music runs through the blood of Austin singer and multi-instrumentalist Carrie Rodriguez. Her great aunt is 1940s ranchera star Eva Garza, her father is singer-songwriter David Rodriguez, and Carrie began building her own musical chops early, taking violin lessons starting at age five. Since emerging in 2002, the old soul has recorded three duet albums with country elder statesman Chip Taylor. Her solo records, meanwhile, highlight her pure grace and elegance as a singer, with some songs co-written by the likes of Minnesota natives Dan Wilson and Gary Louris. An innate musicality flows through Rodriguez’s latest album, last year’s bilingual Lola, which features subtle, ranchera-inspired arrangements from her band, the Sacred Hearts. Rodriguez may be most accessible when she and the band go for rollicking immediacy (“Z”), but she’s at her best on quieter songs like “The West Side,” an affecting number about the racial divide in her native Austin. Pat Donohue opens.