Although OTRCAT.com does not have recordings of every series listed below, the following is quick reference guide to old time radio show series, theme music title, and composer (when available).
Signature Theme on various shows: "Ida (Sweet As Apple Cider)" - Eddie Munson; Eddie Leonard
Sub-Theme (circa 1932): "We Want Cantor" [a 4-note motif over the "Heart and Soul" chord progression, reprised in Gerry Mulligan's "Bop City"] - Louis Gress
Signature Theme 2 on various shows: "Campbells Are Coming, The" - Traditional Scotch Air
Signature Theme 3 on various shows: "Laugh Your Way Through Life" - Harry Revel; Mack Gordon
Closing Signature Theme on various shows: "One Hour With You" [aka: (I'd Love To Spend) One Hour With You] - Richard Whiting (m); Leo Robin (w)
Signature Theme 1 on various shows: "Nocturne in Eb" (Opus 9, No. 2) [vocal title: My Twilight Dream] - Frederic Chopin (m); Eddy Duchin (adapter); Lew Sherwood (adapter)
Signature Theme 2 on various shows: "My Twilight Dream" [based upon Chopin's "Nocturne in Eb (Op.9, No. 2)"][aka: "Eddy Duchin Story" movie "To Love Again"] - Frederic Chopin (m); Eddy Duchin (adapter); Lew Sherwood (adapter)
"Big Show, The" [from the 1918 musical "Head Over Heels"] - Jerome Kern
"Kingdom Coming" (An' De Year Ob Jubilo) [arranged like "Happy Days Are Here Again"] - Henry C. Work (a civil war melody arranged by Ray Noble -- used 10 years later in "Doodletown Fifers" by Sauter-Finegan)
Alternate Signature Theme on various shows: "Happy Days Are Here Again" [from 1929 film "Chasing Rainbows"] - Milton Ager (m); Jack Yellen (w)
"Mortimer Snerd Theme" - Raymond Stanley Noble; Edgar John Bergen
Eileen Barton Show, The -
"If I Knew You Were Comin' I'd've Baked A Cake" - Al Hoffman; Bob Merrill; Clem Watts
"I Feel a Song Comin' On" [from the 1935 film "Every Night At Eight"] - Jimmy McHugh; George Oppenheimer; Dorothy Fields
Ellen Randolph - "Andante Cantabile, First Movement Theme from the "Pathetique" Symphony No. 6 in B minor (Opus 74)" [popular title: "The Story of a Starry Night"] - Piotr Ilyich ["Peter"] Tchaikovsky