Two conspicuous peaks are observed in the two-dimensional coincidence spectra of $\ensuremath{\alpha}$ particles and neutrons emitted in bombardments of $^{12}\mathrm{C}$, Rh, $^{208}\mathrm{Pb}$, and U with 90 MeV $\ensuremath{\alpha}$ particles. Through their energy-angle correlation these peaks are identified as arising from the breakup products of $^{5}\mathrm{He}$ (g.s.) formed in the ($\ensuremath{\alpha},^{5}\mathrm{He}(\mathrm{g}.\mathrm{s}.)$) reaction. A somewhat less prominent peaking of events is identified as the signature for the breakup of $^{6}\mathrm{H}\mathrm{e}*$(1.8 MeV) formed by two-neutron pickup. A distorted-wave Born-approximation calculation was carried out for the ($\ensuremath{\alpha},^{5}\mathrm{He}(\mathrm{g}.\mathrm{s}.)$) reaction on $^{208}\mathrm{Pb}$ and was found to fit the measurements. The large differential cross section for the ($\ensuremath{\alpha},^{5}\mathrm{He}(\mathrm{g}.\mathrm{s}.)$) reaction confirms an earlier interpretation of the somewhat square structure observed in the spectra of inelastically scattered $\ensuremath{\alpha}$ particles.NUCLEAR REACTIONS $^{208}\mathrm{Pb}$, Rh, $^{12}\mathrm{C}$, $^{\mathrm{nat}}\mathrm{U}(\ensuremath{\alpha},^{5}\mathrm{He})$ ($\ensuremath{\alpha}$, $^{6}\mathrm{He}$(1.8 MeV)), $E=42,90$ MeV, measured two-dim $\ensuremath{\alpha}\ensuremath{-}n$ coin. Spectra, deduced $\ensuremath{\sigma}(\ensuremath{\theta})$ for $^{208}\mathrm{Pb}(\ensuremath{\alpha},^{5}\mathrm{He})$, compared DWBA.