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We have investigated the crystal structures and magnetic properties of DyFe1-xMnxO3 (x = 0 -1) perovskites. The Jahn-Teller distortion characteristic to the constituent Mn3+ was explored to result in the predominance of the bc-plane sublattice and the possibly effective orbital-ordering onset for x ≥ 0.5. At the composition of x = 0.5, an unexpected weak ferromagnetism-like ordering was also characterized, never documented before, and persists up to x = 0.9. This magnetic ground state is preliminarily discussed within the framework of Dzyaloshinskii-Moriya interaction conventionally for weak ferromagnetism, suggesting an intriguing coupling between the lattice and spin degrees of freedom in the bc-plane sublattice. Future electronic explorations for the interplay among the lattice, orbital, and spin degrees of freedom in the solid solution would disentangle the microscopic details dictating the rich magnetic properties of the materials.