According to Hatch's YouTube page, the song is entitled "Headed Home," and was recorded with the help of songwriter Phil Springer.
"Through the rainfall we can find a clear day/shoo the shadows and doubts away and touch the legacy that is ours/yours and mine and our children's for all time/Just honor him! Honor him! And everything will be a thing of the past," Springer croons.
"America! America! we're headed home/we're headed home/at last," he continues.
Hatch took to Twitter to share the song with his followers.
He said in consecutive Twitter messages "Cancer may have taken my friend, Ted, from us, but his legacy continues on. I wrote a tribute song to my friend Ted called 'Headed Home.'"
"Although Ted and I fought over politics most of the time, he was a passionate man who dedicated his life to public service...and did a lot of good for a lot of people. Ted will be greatly missed," he added.
Here is the song:
Cross-posted to the Twitter Room