cosinage /ˈkʌzɪnɪd͡ʒ/ noun2 •Collateral relationship or kindred by blood; consanguinity. •(no longer used, historical) A writ to recover possession of an estate in lands, when a stranger has entered, after the death of the grandfather's grandfather, or other distant collateral relation.if the abatement happened upon the death of any collateral relation , other than those before-mentioned , the writ is called a writ of cosinage — 1765 formscosinages