Which preposition to use with coatless

on Occurrences 1%

And, if Herr Parish had cared to read his case, he would have found it expressly stated that the lady 'had never seen the man without his coat' (and so could not associate him with an impression of a shiny back to his waistcoat) till after the hallucination, when she saw him coatless on his death-bed.

through Occurrences 1%

" Before Mr. Taynton could stop him he had opened the front-door and banged it behind him, and was off hatless and coatless through the pouring perpendicular rain.

Which preposition to use with  coatless