Here are some 1945 Billboard chart tiles, Harlem Nocturne might suite best, but you probably know your parents better, so pick one:
Riders In The Sky (A Cowboy Legend) - Vaughn Monroe & His Orchestra
Manana (Is Soon Enough For Me) - Peggy Lee
Heartaches - Ted Weems & His Orchestra
The Old Lamp-Lighter - Swing & Sway with Sammy Kaye
My Dreams Are Getting Better All The Time - Les Brown & His Orchestra
The Gypsy - Ink Spots
Buttons And Bows - Dinah Shore & Her Happy Valley Boys
Rumors Are Flying - Frankie Carle & His Orchestra
Cruising Down The River - Russ Morgan & His Orchestra
Sentimental Journey - Les Brown & His Orchestra
R&B:
Private Cecil Gant: I Wonder
Cootie Williams: Somebody's Gotta Go
Joe Turner: S.K. Blues, Part 1
Erskine Hawkins: Tippin� In
Rosetta Tharpe: Strange Things Happening Every Day
Arthur Crudup: Rock Me Mama
The Four Clefs: V Day Stomp
Lucky Millinder: Who Threw The Whiskey In The Well?
Louis Jordan: Caldonia
Five Red Caps: Boogie Woogie On A Saturday Nite
Buddy Johnson: That's The Stuff You Gotta Watch
Golden Gate Quartet: I Will Be Home Again
Joe Liggins: The Honeydripper, Part 1
Count Basie: Jimmy's Blues
Hadda Brooks: Swingin' The Boogie
T-Bone Walker: Sail On Boogie
Big Maceo: Things Have Changed
Herb Jeffries: Left A Good Deal In Mobile
Gatemouth Moore: I Ain't Mad At You Pretty Baby
Ivory Joe Hunter: Blues At Sunrise
Wynonie Harris: Baby Look At You
Helen Humes: Be-Baba-Leba
Johnny Otis: Harlem Nocturne
Jay McShann: Garfield Avenue Blues
Julia Lee: If It's Good
Lionel Hampton: Beulah's Boogie