The Providence Journal has the story:
“The YMCA of Greater Providence, which operates nine YMCAs throughout the state, is taking over and renovating the last remaining building in the former Riverside Mill, an Olneyville complex that burned in 1989, for a permanent headquarters and to provide youth programs for the city’s recently opened Riverside Park, next door…” Click here for more…
11/16: Changed image to reflect Riverside Mill
That Street View image is Atlantic Mills, I think this might be the mill in question.
You might be right… This image on Streetview was the closest fit to the address listed in the article…