I've done some dyeing, but can't reliably predict the outcome. It's like baking bread - with the same ingredients, two people will come up with different results. I would wash the fabric thoroughly first, and I use a little borax in the wash to remove skin oil that will change the outcome. No fabric softener.
A lot depends on that black - if it was made by combining other dyes, you may end up with something looking green or rusty. Experiment with it and see what happens. I've overdyed some ugly prints and some have turned out beautifully, but they were covering lighter with darker colors.