Seems to be your question has broader implications. The question asked limits one to songs composed by Mormans.
How about music composed by carnal Christians or ungodly people that write Christian songs? I would like to share an insight on this subject written by Robert Cottrill:(I do not know anything about this author but am familiar with the story shared)
"How can bad people produce good music? It’s a relevant question. Because not all wholesome, God-honoring music was produced by born again believers. That may be almost too obvious to state, but it is an important place for us to start. There are even fine hymns, true to Scripture, written by unbelievers. For example, what do you think of the following lyric?
All hail to Thee, Immanuel, we cast our crowns before Thee;
Let every heart obey Thy will, and every voice adore Thee.
In praise to Thee, our Saviour King, the vibrant chords of heaven ring,
And echo back the mighty strain: All hail! All hail! All hail Immanuel!
All hail to Thee, Immanuel, our risen King and Saviour!
Thy foes are vanquished, and Thou art omnipotent forever.
Death, sin and hell no longer reign, and Satan’s pow’r is burst in twain;
Eternal glory to Thy name: All hail! All hail! All hail Immanuel!
D. R. Van Sickle wrote that hymn in 1910. Not only was he an unbeliever at the time, he wrote the song specifically to prove you don’t need to be a Christian to write a hymn! But some years later, by God’s grace, a strange thing happened. Van Sickle was in a church service when the choir sang his hymn, and the Lord used it to bring him under conviction and he got saved!
There are other examples that could be cited, but this one surely makes the point. So, how is it that bad people can make good music?
END OF QUOTE.
I personally evaluate a song by sound and then the content - many do it in reverse order, but this is me. The sound should complement the content. If it sounds like the devil screeching, forget it - I do not care for the lyrics. The content and music should complement each other.
Whether the composers are godly I have no clue - I do not have the resources to research this question so I will judge a song by what I am hearing it say.
You wanted Scripture and not opinion...I can find no scripture that bears directly on this issue other then the one that addresses false teachers who will use great words to entice the Believers.
Personally, I will not sing a gospel song that I know for a fact to have been composed by an ungodly person - there are too many others one can sing - one is not deprived by these self-imposed limitations.