Hello,
Yiddish Tishe is a diminutive form of a more common form Tishl ot Tishle, that in turn is from Tushane/Dushane, of Old Czech origin. In some places (Lublin province) Tishe and Tishle were just interchangeable.
In the above list, the person was recorded as Tysza (Polish transcription from the original Russian, same as Yiddish Tishe), but appears as Tyszla (Yiddish Tishle) in her marriage.
I don't think Dushinsky can be derived from a variant of the same given name. A large majority of Jewish surnames in Slavic countries ending in -sky / ski are based on toponyms (+ several dozens on occupations and male given names, but not female given names).
Looking JewishGen databases, I observe that Duschinsky / Dushinsky was a common name in the Hungarian part of Austro-Hungary. One should know details of the inception of this name to see in what exact area it appeared for the first time. In the list of toponyms of Austro-Hungary, I don't see any direct candidate for being the source of this surname.
Alexander Beider