The most authoritative delineation of Philadelphia neighborhoods is found on the
City Planning Commission website.
See page 45 of this report.
http://www.philaplanning.org/data/boundaries.pdf
From this, it seems that Girard College is its own entity and is not part of Fairmount. But because of its non affiliation with any other neighborhood it could broadly be considered a Fairmount institution.
Unfortunately, I know very little about Girard College except its location. Its high walls and fences are a deterrent to making it more knowable.
But good luck in your teaching stint there.