From CMT.com -- the very cool Carl Smith is Carlene's father....

Hall of Fame to Induct Cramer, Smith

Pianist Floyd Cramer and singer Carl Smith will be the newest
inductees into the Country Music Hall of Fame, the Country Music
Association announced Wednesday (Aug. 6). Cramer, who died in 1998,
worked extensively with guitarist Chet Atkins and saxophonist Boots
Randolph. His "slip-note" piano technique made him one of the most
identifiable session musicians in Nashville during the `50s and `60s
on recordings by Elvis Presley, Patsy Cline and countless country
acts. As a solo instrumental artist on RCA Records, Cramer's hits
include "Last Date," "Please Help Me, I'm Falling" and "San Antonio
Rose." Although his contributions are often overlooked, Smith was one
of country music's most successful artists during the `50s. His 41
chart singles for Columbia Records during the decade included such
No. 1 hits as "Are You Teasing Me," "(When You Feel Like You're in
Love) Don't Just Stand There," "Loose Talk" and "Hey Joe!" Married to
June Carter during the early `50s, he is the father of singer Carlene
Carter. The inductions take place during the 37th Annual CMA Awards,
set for Nov. 5 in Nashville.