The Born cross sections for the process $e^+e^- o eta^prime
pi^{+}pi^{-}$ at different center-of-mass energies between $2.00$ and
$3.08$~GeV are reported with improved precision from an analysis of data
samples collected with the BESIII detector operating at the BEPCII storage
ring. An obvious structure is observed in the Born cross section line shape.
Fit as a Breit-Wigner resonance, it has a statistical significance of
$6.3sigma$ and a mass and width of $M=(2108pm46pm25)$~MeV/$c^2$ and
$Gamma=(138pm36pm30)$~MeV, where the uncertainties are statistical and
systematic, respectively. These measured resonance parameters agree with the
measurements of BABAR in $e^+e^- o eta^prime pi^{+}pi^{-}$ and BESIII in
$e^+e^- o omegapi^0$ within two standard deviations.
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