smear on

smear (something) on(to) (something)

To spread or daub some substance on(to someone or something). I came into the kitchen and saw our toddler smearing chocolate on the walls. The warrior smeared war paint on his face to intimidate his foes.
See also: smear

smear something on(to) someone or something

 and smear something on
to spread or rub something onto someone or something. Judy asked Jeff to smear the sun lotion onto her, and he was very happy to do so. she smeared on the lotion. Jane smeared a little on.
See also: on, smear
References in classic literature ?
There is a smear on the painting of your door, here.