Is this your only vine? Has it ever produced fruit? Do you know the variety? What is your general location?

Those aren't "baby grapes" but rather the flower. If this is your only vine, then perhaps it is a female and isn't getting pollinated.

One vine is a Frye muscadine grape and I'm not sure what the other one is. They have never produced fruit but this was the first year i really expected any as the vines started small. I see now that you are correct and those are indeed flowers. Does this mean there is still a chance for grapes thus year? We live in Western NC. Thanks fir your help!

I have spotted birds stealing the tiny, still green, muscadines. Mockingbirds wiped out the fruit last year. Now that they have finished the peaches, nectarines and plums, the birds are working on the figs and muscadines!