A general theory, in terms of complex wavenumber spectra, has been developed for point-source-excited wave phenomena associated with thin elastic spherical shells with exterior and(or) interior fluid loading, and there has been performed a high-frequency asymptotic reduction of the new rigorous spectral integral forms that quantifies a ray theoretic interpretation and construction of the results [L. B. Felsen and J. M. Ho, J. Acoust. Soc. Am. Suppl. 1 86, S5 (1989)]. By appealing to the rotational symmetry with respect to the polar axis passing through the source and the center of the shell, the problem has been azimuthally independent. For excitation mechanisms without rotational invariance, produced either by direct source configurations or by induced sources generated from truncations or other perturbations of the spherical shell prototype, it is necessary to treat the fully three-dimensional phenomenology. Such general source distributions can be synthesized by contributions from arbitrarily placed point sources in the fixed global spherical coordinate frame. The previous analysis is extended accordingly. It incorporates the full azimuthal, meridional, and radial dependence of the field, formalized most generally by a new double spectral integral representation based on a continuous associated Legendre transform for meridional dependence, and Fourier transform for azimuth. High-frequency asymptotics produce the corresponding generalized forms that describe skewed ray fields with incident, reflected, and shell-guided constituents [J. M. Ho and L. B. Felsen, following abstract]. Special cases include ring source excitation with continuous azimuthal linear phasing, and linearly phased point source ring arrays. [Work supported by ONR and DTRC.]