On the King for a Day CD, “Crying in the Rain” is credited to King/Greenfield… and also to Warwar/Harris/Kerr/Cartagena. These are the names of the people who wrote “The Fugitive” by Iron Maiden. I don’t hear any interpolation of “The Fugitive” in Micky’s version of “Crying in the Rain”; I think it would be quite obvious if it was there.
It might just be someone having a laugh, because Micky Dolenz is credited with “lead and background vocals, acoustic guitar, knee and stomach slaps”.