Interaction of electrons with cumulene carbenes (H2C2, H2C3, H2C4, H2C5, H2C6) and some of the possible outcomes are reported in this article. The prominent scattering channels like elastic, inelastic, ionization, and momentum transfer are examined through respective cross sections for these molecules and their polyacetylene isomers (C2H2, C4H2, C6H2). The quantum collision problem of the e-target system is solved through the optical potential approach. The optimized structures, ionization energies (IP), and polarizabilities of the target molecules are calculated using the Density Functional Theory. These target parameters are found to be in good agreement with those available from the literature. The computations for cross sections were performed in the energy ranging from the ionization threshold of the targets to 5000 eV. To the best of the authors' knowledge, it is the first time that the cross section values of the above-mentioned molecules are reported. We have established a strong correlation between the maximum ionization cross section and ionization energy as well as polarizability, suggesting the consistency of the results reported here. An investigation into the isomeric effect reveals significant differences in the properties and magnitudes of cross sections of cumulene carbenes compared to polyacetylenes. The present findings would be helpful in astrophysical modelling, spectroscopy, and studying interstellar & circumstellar spaces.