Here's info from one on-line source:

Re: CowboyPal Trivia for May 31, 2007
From: PAUL HOPPER
Sent: Wednesday, May 30, 2007 5:37 PM

More than you want to know but still of some interest regarding "That Silver Haired Daddy of Mine":

1930 12 02    Jimmy Long & Cliff Keiser record it for Gennett. Released on Champion and Supertone labels.
1931 10 20    Frank Novak & Dick Robertson record it for Victor. Released on Victor and later Montgomery Ward labels.
1931 10 29    GENE AUTRY & JIMMY LONG record the song for ARC. It is released on the many ARC labels and Conqueror.

    After the success of the song in "The Phantom Empire" (1934) and "Tumbling Tumbleweeds" (1935) it finally charts 3 1/2 years after first release and other artists then take their turns at it.
    Nineteen years after the Long / Keiser version, to the day, and eighteen years after the first Autry version Gene records the song again.

1949 12 02    GENE AUTRY & BERT DODSON record it for Columbia Records. Bert subbed for the deceased Jimmy. Bert was a member of the Cass County Boys.

    Through all the credits on the records, song sheets, and in songbooks showing Gene's name associated with it he had nothing to do with the writing. Of all the songs "co-authored" with Jimmy Long this is the only one whose copyright remains in the possession of Jimmy's descendants. Gene never owned it, just had deals for a slice of performance and publishing royalties.