I heard a sermon about a decade ago on singing. The preacher had just buried an older man in his church. He had Alzheimer's. He knew no one’s name. IF he heard you sing one of the old church songs, he could sing it word for word! There was not a dry eye in the congregation.
My Grandmother and family spent Sunday afternoons congregating at one of their siblings homes where the kids played together and then in the late afternoon they'd sit on the porch and sing....no books, just by memory. When she was about 94 years old, she could no longer see more than a blur. At church she could sing every verse to every song!!! Okay, I've got a tear now!
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Yes, I love those hymns too. "I Come to the Garden Alone" ("In The Garden") was my Mom's favorite hymn (followed closely in second place by "The Old Rugged Cross"). She always liked to sing harmony on those hymns.
If you get a chance, listen to some of these versions of a couple songs you mentioned, along with some other good old hymns. You might also enjoy some of these versions like I do.