The Collaborative International Dictionary of English v.0.48:

Beggary \Beg"gar*y\, n. [OE. beggerie. See Beggar, n.]
   1. The act of begging; the state of being a beggar;
      mendicancy; extreme poverty.
      [1913 Webster]

   2. Beggarly appearance. [R.]
      [1913 Webster]

            The freedom and the beggary of the old studio.
                                                  --Thackeray.
      [1913 Webster]

   Syn: Indigence; want; penury; mendicancy.
        [1913 Webster]

The Collaborative International Dictionary of English v.0.48:

Beggary \Beg"gar*y\, a.
   Beggarly. [Obs.] --B. Jonson.
   [1913 Webster]

WordNet (r) 3.0 (2006):

beggary
    n 1: a solicitation for money or food (especially in the street
         by an apparently penniless person) [syn: beggary,
         begging, mendicancy]
    2: the state of being a beggar or mendicant; "they were reduced
       to mendicancy" [syn: beggary, mendicancy, mendicity]

Moby Thesaurus II by Grady Ward, 1.0:

47 Moby Thesaurus words for "beggary":
   absence, bare cupboard, bare subsistence, beggarliness, begging,
   bumming, cadging, defectiveness, deficiency, deficit, deprivation,
   destitution, drought, empty purse, famine, grinding poverty, gripe,
   hand-to-mouth existence, homelessness, impecuniousness,
   imperfection, impoverishment, incompleteness, indigence, lack,
   mendicancy, mendicity, moneylessness, mooching, necessitousness,
   necessity, need, neediness, omission, panhandling, pauperism,
   pauperization, penury, pinch, privation, scrounging, shortage,
   shortcoming, shortfall, starvation, want, wantage