oh yes, Dolly Parton has a title song Little Sparrow,
and Kathy Kallick has a song "Center of the World" that says "if the sparrow falls then the Lord will see"

and what about I'd rather be a sparrow than a tree,
(I'd rather be a sparrow than a snail.....)
I believe this is taken from a South American song...[El Condor Pasa]
who did it? Simon and Garfunkel? or was it a swallow?

in Across the Great Divide by Kate Wolf, there is a line
"Now I hear the owl a-callin' softly as the night was fallin'"

Kate had lots of Nature images in her music..
"The Redtail Hawk writes songs across the sky"...

When The Red, Red Robin Comes Bob, Bob, Bobbin' Along...