Answer
The name of $NaHSO_3$ is: "Sodium hydrogen sulfite".
Work Step by Step
1. Identify the positive ion, and name it.
$Na^+$ is the positive ion.
So, the first name of the compound will be: "Sodium."
2. Identify the negative ion, and name it.
$HS{O_3}^-$ is the negative ion.
As we can see in Table 2.2 (Page 58), $S{O_3}^{2-}$ is called "sulfite", $S{O_4}^{2-}$ is called "sulfate" and $HS{O_4}^-$ is called "hydrogen sulfate".
Using the same logic, $HS{O_3}^-$ is called "hydrogen sulfite".
3. Putting those two names together:
$Na^+ + HSO{_3}^- = NaHSO_3$
Sodium + hydrogen sulfite = Sodium hydrogen sulfite.