The name "L. F. Cole" appears in a few hymnals, and the Hymnary uses the name Luella F. Cole as the person name. However, when I checked all the instances and page scans, I could not find any mention of "Luella". But the name "Lafayette F. Cole" was mentioned a couple of times (and in the same hymnals that use L. F. Cole in other hymns). Where did Luella come from?
My guess is that the first name should be Lafayette, and not Luella, unless somebody has more information about it.!!