We report the discovery of four high-redshift objects (3.3 < z < 4) observed behind the rich cluster CL 0939 + 4713 (Abell 851). One object (DG 433) has a redshift of z = 3.3453; the other three objects have redshifts of z approximate to 4: A0 at z = 3.9819, DG 353 and P1/P2 at z = 3.9822. It is possible that all four objects are being lensed in some way by the cluster, DG 433 being weakly sheared, A0 being strongly sheared, and DG 353 and P1/P2 being an image pair of a common source object; detailed modeling of the cluster potential will be necessary to confirm this hypothesis. The weakness of common stellar wind features like N V and especially C IV in the spectra of these objects argues for subsolar metallicities, at least as low as the SMC. DC 353 and DG 433, which have ground-based colors, are moderately dusty [E-int(B-V) less than or similar to 0.15], similar to other z > 3 galaxies. Star formation rates range from 2.5(7.8) h(-2) to 22.(78.) h(-2) M-circle dot yr(-1), for q(0) = 0.5(0.05), depending on assumptions about gravitational lensing and extinction, also typical of other z > 3 galaxies. These objects are tentatively identified as the low-metallicity protospheroid clumps that will merge to form the Population II components of today's spheroids.