That out d'door' or 'out t'door' has caused pause in more than one Mudcat thread on song 'translation'. It comes close to being a glottal stop in some cases, not being pronounced as a letter.

Digression-
tongue-in-cheek- The OED has a 1798 quotation from the novel, "Woman of Honor," "by winking with one eye... and tonguing out his cheek."
Smollett, 1748- "I signified my contempt of him by thrusting my tongue in my cheek." (Giving cheek- to be insolent- any relation?)
These quotations suggest the phrase already was in common use in the 18th c.; no idea of the age or origin.