Allmusic.com says LIFE IS A BALLGAME was written by Sister Wynona Carr and recorded by The Persuasions. Their version appears on 3 albums:
"Big City Blues: East Coast Style," Easydisc CD #7018, 1997.
"New Blues Hits," Bullseye Blues CD #27, 1997.
"Sincerely," Bullseye Blues CD #9576, 1996.

Also, Sister Wynona Carr's version, called simply THE BALL GAME, appears on her album "Dragnet for Jesus" as well as several other collections.