  We compute $\frac{1}{2}$-derivations on the deformed generalized
Heisenberg-Virasoro algebras and on not-finitely graded Heisenberg-Virasoro
algebras $\widehat{W}_n(G)$, $\widetilde{W}_n(G)$, and $\widetilde{HW}_n(G)$.
We classify all transposed Poisson structures on such algebras.
