Observation of the hc(1P) Using e+e- Collisions above the D(D)over-bar Threshold

Using 586 pb(-1) of e(+)e(-) collision data at E-c.m = 4170 MeV, produced at the Cornell Electron Storage Ring collider and collected with the CLEO-c detector, we observe the process e(+)e(-) -> pi(+)pi(-)h(c)(1P). We measure its cross section to be 15.6 +/- 2.3 +/- 1.9 +/- 3.0 pb, where the third error is due to the external uncertainty on the branching fraction of psi(2S) -> pi(0)h(c)(1P), which we use for normalization. We also find evidence for e(+)e(-) -> eta h(c)(1P) at 4170 MeV at the 3 sigma level and see hints of a rise in the e(+)e(-) -> pi(+)pi(-)h(c)(1P) cross section at 4260 MeV.