^^Given that no other shuttle was ever referred to that way, and given that a later iteration of the shuttle was explicitly labelled
Galileo II onscreen (in "The Way to Eden," I believe), I think it's clear that it was "The
Galileo Seven," i.e. the seven who journeyed aboard the
Galileo (by analogy with
The Magnificent Seven or "The
Chicago Seven," or "The Oceanic Six" for
Lost fans), rather than "The
Galileo Seven." But many people over the years have misinterpreted the "Seven" as part of the shuttle's name, and clearly the makers of your model kit (or at least its box art) made that mistake too.
EDIT: Well, given that the set and model designers did put "1701/7" on its hull, maybe the title was meant to have a double meaning of sorts. Still, we never saw or heard any other shuttle referred to in that way (aside from the
Galileo II), so it would have to be at best a poetic or informal reference to the shuttle, not a proper designation for it.