Real Dictionary

totter
verb: If someone totters somewhere, they walk there in an unsteady way, for example because they are ill or drunk.
verb: If something such as a market or government is tottering, it is weak and likely to collapse or fail completely.

totter in American English
an unsteady walk or movement
to rock or shake as if about to fall; be unsteady
intransitive verb: to walk or go with faltering steps, as if from extreme weakness
noun: the act of tottering; an unsteady movement or gait

totter in British English
to walk or move in an unsteady manner, as from old age
noun: the act or an instance of tottering