The term "dirty daddy" was created in a small town, MA. The term refers to a daddy who is essentially a dirty being, or one who posesses a strong sexual side. Usually used in a comic manner, rhymes are constructed using a "dirty daddy" phrase here and there for, ironically, the effect of dirty humor.
You're my daddy, my dirty daddy. I know you want this daddy, I know you feel this daddy, so come and get me daddy, dirty, kinky, super, naughty, "dirty daddy".