  The recent experimental observation of a potential fractional quantum spin
Hall (FQSH) state in the twisted MoTe$_2$ system has sparked theoretical
explorations at total filling $\nu_T=1$ of a pair of $C=\pm 1$ Chern bands from
the two spins (locked to valley). One intriguing candidate is a vortex spin
liquid (VSL), which can be viewed as an exciton version of composite fermi
liquid (CFL). The VSL insulator is incompressible in the charge channel, while
compressible in the spin channel. Here we investigate fully gapped descendants
of the VSL phase at the total filling
$\nu_T=\nu_{\uparrow}+\nu_{\downarrow}=1$. At zero magnetization, a non-Abelian
state with both FQSH and thermal Hall effect emerges from weak $p+ip$ pairing
of the neutral Fermi surface, hosting 12 anyons (up to addition of physical
electron) including two independent Ising anyons separately carrying charge and
spin. Strong pairing leads to a Z$_4$ topological order with only FQSH effect.
At non-zero magnetization $m=2S_z$, there is a Jain sequence of magnetic
plateaus with $m=\frac{1}{p}, p \in Z$, exhibiting both half FQSH effect and
spin fractional quantum Hall effect (SFQH). Our work highlights the VSL's
potential as a parent state to organize numerous FQSH insulators with
non-trivial inter-valley correlations at $\nu_T=1$. The quantized FQSH behavior
remains robust even in the presence of ferromagnetism, thanks to the
spin-charge separation nature inherent in the parent VSL phase. Future
experimental investigations are crucial to validate or rule out spontaneous
magnetization and time reversal symmetry breaking.
