The Collaborative International Dictionary of English v.0.48:

Estreat \Es*treat"\, n. [OF. estraite, prop., an extract, fr. p.
   p. of estraire to extract, F. extraire, fr. L.extrahere. See
   Extract.] (Law)
   A true copy, duplicate, or extract of an original writing or
   record, esp. of amercements or penalties set down in the
   rolls of court to be levied by the bailiff, or other officer.
   --Cowell.
   [1913 Webster]

   Estreat of a recognizance, the extracting or taking out a
      forfeited recognizance from among the other records of the
      court, for the purpose of a prosecution in another court,
      or it may be in the same court. --Burrill.
      [1913 Webster]

The Collaborative International Dictionary of English v.0.48:

Estreat \Es*treat"\, v. t. [imp. & p. p. Estreated; p. pr. &
   vb. n. Estreating.] (Law)
   (a) To extract or take out from the records of a court, and
       send up to the court of exchequer to be enforced; -- said
       of a forfeited recognizance.
   (b) To bring in to the exchequer, as a fine.
       [1913 Webster]