A distinction between inalienable and alienable possession is considered to be crosslinguistically common. For the Tungusic languages, it is generally illustrated with examples that contrast inherently possessed body parts with body parts belonging to a non-inherent possessor, with the latter being formally marked with a suffix-ŋ(V). However, as we argue here for Negidal (Northern Tungusic), rather than marking 'alienable' or 'indirect' possession, the suffix-ŋ(i) flags the occurrence of non-canonical possessive constructions; the supposedly straightforward interpretation of the oft-cited examples involving body parts is merely a secondary effect of the particular kind of non-canonical construction involved. This analysis unifies the diverse constructions in which-ŋ(i) occurs, namely with obligatorily possessed body parts, with non-possessible items such as nouns denoting humans or environment terms as well as demonstratives or adjectives, and with other modifiers when the possessee is elided. We complement our investigation with the analysis of the cognate suffix-ŋi, whose main function is to mark the possessor in possessive constructions with an elided head. The function of both suffixes can thus be subsumed under the marking of non-canonical possessive constructions. This analysis can be extended to several Tungusic languages, as the comparison with Negidal's sister languages shows.