In the current study, we examined every possible cluster-daughter combination in the heavy-particle decay of isotopes (297-300)119 and computed the decay half-lives using the modified generalized liquid drop model (MGLDM) with the preformation factor depending on the disintegration energy. The predicted half-life of every heavy cluster (Z(C) >= 32) was within the experimentally observable limits. These results aligned with the predictions of Poenaru et al. [Phys. Rev. Lett. 107, 062503 (2011)] that superheavy nuclei (SHN) with Z > 110 will release heavy particles with a penetrability comparable to or greater than the alpha-decay. The half-lives predicted using the MGLDM for clusters Rb-89, Rb-91, and Rb-92 from parents (297)119, (299)119, and (300)119, respectively, agreed with the predictions of Poenaru et al. [Eur. Phys. J. A 54, 14 (2018)]. It was found that the isotopes of heavy clusters Kr, Rb, Sr, Pa, In, and Cd had half-lives comparable to the alpha half-life; and isotopes of clusters I, Xe, and Cs had the minimum half-life (10(-14) s). These observations revealed the role of the shell closure (Z = 82, N = 82, and N = 126) of the cluster and daughter nuclei in heavy-cluster radioactivity. We predicted that isotope (297,299)119 decayed by 4 alpha decay chains and isotope (300)119 decayed by 6 alpha decay chains, while (298)119 decayed by continuous alpha decay chains. The predicted half-lives and modes of decay of the nuclei in the decay chains of (297-300)119 agreed with the experimental data, proving the reliability of our calculations. The present study determined the most favorable heavy-cluster emissions from these nuclei and provided suitable projectile-target combinations for their synthesis.