This paper presents a theoretical study of angular distribution of spin-resolved electrons ejected by interaction of light in the nonrelativistic, electric dipole approximation with nonlinear molecules oriented in space. A theory, formulated in an earlier paper [N. Chandra, Phys. Rev. A 40, 752 (1989)] by taking full account of the group-theoretical transformation properties of a molecular target, is used to develop explicit expressions for the four parameters [namely, the spin-unresolved differential cross section ${\mathit{d}}^{2}$\ensuremath{\sigma}(${\mathit{m}}_{\mathit{r}}$)/dk^d\ensuremath{\omega} for photoionization and the three polarization parameters \ensuremath{\chi}(${\mathit{m}}_{\mathit{r}}$,k,\ensuremath{\omega}), \ensuremath{\kappa}(${\mathit{m}}_{\mathit{r}}$,k,\ensuremath{\omega}), and \ensuremath{\zeta}(${\mathit{m}}_{\mathit{r}}$,k,\ensuremath{\omega}) that depend upon the state of polarization ${\mathit{m}}_{\mathit{r}}$ for the ionizing radiation, propagation vector k, and the orientation of the molecule in space] needed to describe the angularly distributed, spin-polarized photocurrent from linear as well as nonlinear molecules of any symmetry corresponding to one of the 32 point groups, oriented in space in their gaseous phase or on liquid (solid) surfaces.These formulas have been applied to angle- and spin-resolved photoelectron spectroscopy of the ${\mathit{a}}_{1}$ orbital in those molecules that transform like the ${\mathit{T}}_{\mathit{d}}$ point symmetry group. The spin polarization of photoelectrons in this case is due directly to the spin-orbit interaction in the molecular continua. Detailed expressions for the four parameters with the electric vector in the radiation beam both parallel and perpendicular to the fixed axis of the oriented molecule are derived, probably in their simplest possible form, using the concepts of the extended (or spin-double) group. The properties of these parameters, which are influenced, inter alia, also by the spin-orbit interaction, are analyzed. Such angle- and spin-resolved studies of photoionization in oriented molecules will therefore provide more stringent tests for theoretical models, probes into the effects of target orientation on photoionization dynamics, and a measure of the influence of the spin-orbit interaction on the continuum part of the spectrum.The procedure adopted and the formulation presented herein set a methodology and a framework for the analysis of the measurements and calculations of angle- and spin-resolved photoelectron spectra of those polyatomics in general, and ${\mathit{T}}_{\mathit{d}}$ molecules, in particular, which have a fixed orientation in space. The specific examples considered in this paper are photoionization in 4${\mathit{a}}_{1}^{2}$, 6${\mathit{a}}_{1}^{2}$, and 7${\mathit{a}}_{1}^{2}$ orbitals of oriented ${\mathrm{CF}}_{4}$, ${\mathrm{CCl}}_{4}$, and ${\mathrm{SiCl}}_{4}$, respectively. Without performing any dynamical calculations, the variations of various parameters with respect to the energy of the incident radiation and to the phases involved have semiempirically been studied in detail for two different orientations of the axis of the fixed molecule. This study has helped also in predicting the values of the polarization parameters in the energy range of the Cooper minimum for angle- and spin-resolved ${\mathrm{CCl}}_{4}$(6${\mathit{a}}_{1}^{2}$${)}^{\mathrm{\ensuremath{-}}1}$ and ${\mathrm{SiCl}}_{4}$(7${\mathit{a}}_{1}^{2}$${)}^{\mathrm{\ensuremath{-}}1}$ photoelectron spectra in oriented molecular targets.