That fruit looks very small to be Celeste, IMO, unless you have a huge hand and small quarter, that is. :) The skin looks thicker and more redish brown. The flesh looks red, as well and my Celestes don't look like that inside. Your figs do, however look tasty. If they are Celestes, they are quite different in looks from ours, down here that I've got and have seen.
Did you get cuttings? Maybe they're those Mountain figs, which are Celestes, from what I've read.
noss