Lucille is name-checked on the cover of "Freak Out!" (1966) under the heading "These People Have Contributed Materially In Many Ways To Make Our Music What It Is. Please Do Not Hold It Against Them". Pretty much an Unidentified Person so far.
She reappears (?) in "Lucille Has Messed My Mind Up", an LP (Straight STS 1057 / Straight/Reprise RS 6391, February 9, 1970) by Jeff Simmons. Once again on Joe's Garage Act I (1979). The track Lucille Has Messed My Mind Up also shows up in "Them Or Us (The Book)" (1984).