  We present a search for gas-containing dwarf galaxies as satellite systems
around nearby spiral galaxies using 21 cm neutral hydrogen (HI) data from the
Arecibo Legacy Fast ALFA (ALFALFA) Survey. We have identified 15 spiral
`primary' galaxies in a local volume of 10 Mpc with a range of total masses,
and have found 19 gas-containing dwarf satellite candidates within the
primaries' virial volumes ($R_{200}$) and 46 candidates within $2R_{200}$. Our
sensitivity using ALFALFA data converts to $M_{\rm HI} \approx 7.4 \times
10^{6}$ $M_{\odot}$ at 10 Mpc, which includes 13 of the 26 gaseous dwarf
galaxies in the Local Group, and the HI properties of our sample are overall
similar to these 13. We found $0-3$ gaseous satellites per host galaxy within
$R_{200}$ and $0-5$ within $2R_{200}$, which agrees with the low numbers
present for the Milky Way and M31. There is also agreement with the
star-forming satellite numbers per host in the deep optical surveys SAGA and
ELVES, and the Auriga cosmological simulations. When scaled to $R_{200}$, the
optical surveys do not show a trend of increasing quenched fraction with host
mass; there is a slight increase in the total number of gaseous satellites with
host mass for our sample. The low numbers of gaseous/star-forming satellites
around spiral hosts are consistent with the idea that a universal and effective
satellite quenching mechanism, such as ram pressure stripping by the host halo,
is likely at play.
