  Motivated by the recent observation of liquid glass in suspensions of
ellipsoidal colloids, we examine the structure of (asymptotically) saturated
RSA ellipse packings. We determine the packing fractions $\phi_{\rm s}(\alpha)$
to high precision, finding an empirical analytic formula that predicts
$\phi_{\rm s}(\alpha)$ to within less than $0.1\%$ for all $\alpha \leq 10$.
Then we explore how these packings' positional-orientational order varies with
$\alpha$. We find a transition from tip/side- to side/side-contact-dominated
structure at $\alpha = \alpha_{\rm TS} \simeq 2.4$. At this aspect ratio, the
peak value $g_{\rm max}$ of packings' positional-orientational paircorrelation
functions is minimal, and systems can be considered maximally locally
disordered. For smaller (larger) $\alpha$, $g_{\rm max}$ increases
exponentially with deceasing (increasing) $\alpha$. Local nematic order and
structures comparable to the precursor domains observed in experiments
gradually emerge as $\alpha$ increases beyond $3$. For $\alpha \gtrsim 5$,
single-layer lamellae become more prominent, and long-wavelength density
fluctuations increase with $\alpha$ as packings gradually approach the rod-like
limit.
