The resonance states in ¹⁶O + ¹⁶O, ₁₂C + ¹⁶O, 𝛼 + ¹⁶O and 𝛼 + ₁₂C are described using modified Morse potential proposed earlier whose success has already been demon-strated in the case of ₁₂C + ₁₂C system. The general validity of such a potential with long range, shallow depth and repulsive soft core determined from the resonance data itself is being examined through the present study of the resonances in the above four systems. In each system, the experimental data of a large number of states have been successfully described with a modified Morse potential. The success points out a common mechanism of the origin of these states, and reaffirms authentically the diatomic-like rotational and vibrational picture of the nuclear molecular resonances proposed previously. The close resemblance between the physics of diatomic molecules and nuclear molecular resonances extending to the level of potential which is Morse type in both the cases - although belong to two different areas of physics - is further strengthened through the present study.