“And crown thy good Red Riding Hood” is a mondegreen of “And crown thy good with brotherhood,” a line in the patriotic hymn “America the Beautiful.” The misheard lyric has been cited in print since at least 2012.
 
“And crown thy good with Robin Hood” is a similar mondegreen.
     
       
Wikipedia: America the Beautiful
”America the Beautiful” is a patriotic American song. Its lyrics were written by Katharine Lee Bates and its music was composed by church organist and choirmaster Samuel A. Ward at Grace Episcopal Church in Newark, New Jersey.
 
Wikipedia: Mondegreen
A mondegreen /ˈmɒndɪɡriːn/ is a mishearing or misinterpretation of a phrase in a way that gives it a new meaning. Mondegreens are most often created by a person listening to a poem or a song; the listener, being unable to hear a lyric clearly, substitutes words that sound similar and make some kind of sense. American writer Sylvia Wright coined the term in 1954, writing that as a girl, when her mother read to her from Thomas Percy’s 1765 book Reliques of Ancient English Poetry, she had misheard the lyric “layd him on the green” as “Lady Mondegreen” in the fourth line of the Scottish ballad “The Bonny Earl of Murray”.
           
Google Books
Mondegreens:
A Book of Mishearings
By J. A. Wines
London, UK: Michael O’Mara Books Limited
2012
Pg. ?:
ORIGINAL LINE:
‘And crown Thy good with brotherhood’
MONDEGREENS:
‘And crown Thy good Red Riding Hood’
‘And crown Thy good with Robin Hood’
   
Editor’s Corner
Editor’s Corner: Special Edition
Posted by: episystechpubs July 2, 2021
(...)
From America the Beautiful, we have these:
 
And crown Thy good, with brotherhood
And crown Thy good Red Riding Hood
And crown Thy good with Robin Hood
From sea to shining sea
From sea to Chinese sea