  We report the discovery and complex analyses of the first two compact
hierarchical triple star systems discovered with TESS in or near its southern
continuous viewing zone during Year 1. Both TICs 167692429 and 220397947 were
previously unknown eclipsing binaries, and the presence of a third companion
star was inferred from eclipse timing variations exhibiting signatures of
strong 3rd-body perturbations and, in the first system, also from eclipse depth
variations. We carried out comprehensive analyses, including the simultaneous
photodynamical modelling of TESS and archival ground-based WASP lightcurves, as
well as eclipse timing variation curves. Also, for the first time, we included
in the simultaneous fits multiple star spectral energy distribution data and
theoretical PARSEC stellar isochrones, taking into account Gaia DR2 parallaxes
and cataloged metallicities. We find that both systems have twin F-star
binaries and a lower mass tertiary star. In the TIC 167692429 system the inner
binary is moderately inclined ($i_{mut}=27^o$) with respect to the outer orbit,
and the binary vs. outer (triple) orbital periods are 10.3 vs. 331 days,
respectively. The mutually inclined orbits cause a driven precession of the
binary orbital plane which leads to the disappearance of binary eclipses for
long intervals. In the case of TIC 220397947 the two orbital planes are more
nearly aligned and the inner vs. outer orbital periods are 3.5 and 77 days,
respectively. In the absence of radial velocity observations, we were unable to
calculate highly accurate masses and ages for the two systems. According to
stellar isochrones TIC 167692429 might be either a pre-main sequence or an
older post-MS system. In the case of TIC 220397947 our solution prefers a
young, pre-MS scenario.
