The Collaborative International Dictionary of English v.0.48:

Tottery \Tot"ter*y\, a.
   Trembling or vaccilating, as if about to fall; unsteady;
   shaking. --Johnson.
   [1913 Webster]

WordNet (r) 3.0 (2006):

tottery
    adj 1: unsteady in gait as from infirmity or old age; "a
           tottering skeleton of a horse"; "a tottery old man" [syn:
           tottering, tottery]

Moby Thesaurus II by Grady Ward, 1.0:

66 Moby Thesaurus words for "tottery":
   anile, battered, beat-up, beaten up, broken-down, crabbed,
   debilitated, decrepit, derelict, dilapidated, doddered, doddering,
   doddery, doubtful, dubious, feeble, fossilized, gerontal, gerontic,
   groggy, in ruins, infirm, insecure, mossbacked, moth-eaten,
   mummylike, palsied, papery-skinned, ramshackle, ravaged with age,
   ricketish, rickety, rocky, ruined, ruinous, run to seed, run-down,
   rusty, senile, shaky, shriveled, slummy, spidery, spindly,
   stricken in years, teetering, teetery, timeworn, tottering,
   treacherous, tumbledown, uncertain, undependable, unhealthy,
   unpredictable, unreliable, unsafe, unsound, unstable, unsteady,
   unsure, untrustworthy, weak, withered, wizened, wobbly