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In underdoped cuprates, some of the central issues are the interplay of charge and spin orders with superconductivity and their effect on the magnetic-field-revealed normal state.  Recent magnetotransport studies of charge- and spin-stripe-ordered La_2-xBa_xCuO₄ (LBCO) and La_2-x-ySr_x(Nd, Eu)_yCuO₄ (LNSCO and LESCO) near x=1/8 have revealed several intriguing properties of the high-field normal state. To investigate the universality of these novel properties and gain insight into their origin, we perform a similar study on stripe-ordered La_2−xSr_xCu_1−yFe_yO₄ (LSCFO), which has a crystal structure (low-temperature orthorhombic) that is different from that of LBCO, LNSCO, and LESCO (low-temperature tetragonal). Magnetotransport measurements were done on samples with hole doping 0.10 ≤ p ≤ 0.15 in perpendicular fields up to 41.5 T and at temperatures 0.02 ≤ T (K) ≤ 300.  The results allow us to construct the (T, H) phase diagrams, explore the properties of the high-field normal states, and study their dependence on doping.