  The nonconforming triangular piecewise quadratic finite element space by
Fortin and Soulie can be used for the displacement approximation and its
combination with discontinuous piecewise linear pressure elements is known to
constitute a stable combination for incompressible linear elasticity
computations. In this contribution, we extend the stress reconstruction
procedure and resulting guaranteed a posteriori error estimator developed by
Ainsworth, Allendes, Barrenechea and Rankin \cite{AinAllBarRan:12} and by Kim
\cite{Kim:12a} to linear elasticity. In order to get a guaranteed reliability
bound with respect to the energy norm involving only known constants, two
modifications are carried out: (i) the stress reconstruction in next-to-lowest
order Raviart-Thomas spaces is modified in such way that its anti-symmetric
part vanishes in average on each element; (ii) the auxiliary conforming
approximation is constructed under the constraint that its divergence coincides
with the one for the nonconforming approximation. An important aspect of our
construction is that all results hold uniformly in the incompressible limit.
Local efficiency is also shown and the effectiveness is illustrated by adaptive
computations involving different Lam\'e parameters including the incompressible
limit case.
