Here are just a few people who wrote music for Crosby words and also others or even their own.
William Bradbury 1816-1868. He's early & I ignored him until I found him responsible for setting a Fanny Crosby poem. I guess one can hardly ignore the composer of Woodworth for "Just as I am." He's early enough to still be naming his tunes instead of naming them by the words as became more common later.