Harmon library is not closed, but it did move to a new location just across the street. It's now at 1325 S 5th Ave. They built a brand new building and it looks great. There's a small but solid collection of books, a great DVD collection that's not as picked over as some of the busier branches. There's even a really nice kids' play area and a great teen center with a big selection of manga. Even better, it's right next to a park with a playground. I highly reccomend visiting it if you are in South Phoenix.
Like several Phoenix Public Library locations, it is closed on Sundays and Mondays, but it's open from 11 AM - 7 PM Tuesdays-Thursdays and 9-5 on Fridays and Saturdays.