  We exhibit a method to use continued fractions in function fields to find new
families of hyperelliptic curves over the rationals with given torsion order in
their Jacobians. To show the utility of the method, we exhibit a new infinite
family of curves over $\mathbb Q$ with genus two whose Jacobians have torsion
order eleven.
  {\bf In this updated version, we correct an error in the initial paper:} The
``new" family claimed in the original Theorem~1 was pointed out by Professor
D.~Lorenzini to have elements isomorphic with elements in Flynn's family (as
defined in the paper); his guess that the families were the same up to
element-wise isomorphism is correct. Here, we give a family that is new; the
old proof, now free of clerical error (we had replaced our $g_u(x)$ by
$1+g_u(x)$ when determining Igusa invariants), holds. Changes from the original
version are flagged by {\color{red} UPDATED}; there are three of these: the new
family $g_u(x)$; its partial quotients; the way to solve in the naive approach
to find this new family. (We also added an acknowledgement section.) Finally,
as an appendix we include a PDF export of Maple calculations verifying our
correction.
