  Parkes neutral hydrogen 21 cm line (HI) observations of the surroundings of 9
early-type Local Group dwarfs are presented. We detected numerous HI clouds in
the general direction of those dwarfs and these clouds are often offset from
the optical center of the galaxies. Although all the observed dwarfs, except
Antlia, occupy phase-space regions where the High-Velocity Cloud (HVC) density
is well above average, the measured offsets are smaller than one would expect
from a fully random cloud distribution. Possible association is detected for 11
of the 16 investigated clouds, while, for two galaxies, Sextans and Leo I, no
HI was detected. The galaxies where HI clouds were found not to coincide with
the optical, yet have a significant probability of being associated are:
Sculptor dSph, Tucanna, LGS3, Cetus, and Fornax. If the clouds are indeed
associated, these galaxies have HI masses of $M_{HI} = 2\times10^5 M_{\odot}$,
$M_{HI} = 2\times10^6 M_{\odot}$, $M_{HI} = 7\times10^5 M_{\odot}$, $M_{HI} =
7\times10^5 M_{\odot}$, and $M_{HI} = 1\times10^5 M_{\odot}$, respectively.
However, neither ram pressure nor tidal stripping can easily explain the
offsets. In some cases, large offsets are found where ram pressure should be
the least effective.
