I believe I might be a little late, but it's better than never. I have found text concerning "Girty Run." I found it in a book I own.
"The spot chosen by Thomas Girty for his home was known as "Girty's Run," so called because of his living there, and not, as sometimes stated, for the reason that the "Girty family" had there their residence.(This was an error made in Historical Account of the Expedition against Sandusky and in some previous publications.) The brothers, Simon, James, and George, left Pittsburgh before there were any settlements on the north side of the Alleghany. " The neighborhood of Pittsburgh, across the...river," as one account has it, "was the stamping-ground, as the early settlers called it, of the Girtys, and the scenery of that neighborhood still attests their former residence. Girty's Hill is some four or five miles north of the city, and Girty's run flows along its base" But the region thus mentioned was not the "stamping-ground of the Girtys," but the Thomas and his family simply; and the scenery of that neighborhood still attests only their "former residence." Thomas died on Girty's Run. (It was a common mistake that he died on "Squirrel Hill" buthe never lived there.)