First I had to go look up duck genetics...
I found a similar cross in an older thread:
https://www.backyardchickens.com/threads/runner-duck-genetics.436428/page-2#post-21942865
Someone crossed a chocloate with a fawn-and-white, and posted several photos.
And I found a duck genetics calculator.
https://kippenjungle.nl/kruisingEend.html
I clicked the button for "advanced" so I could play with individual genes to check some of what I thought it was telling me.
I assumed the gene labeled "Runner pattern" is what causes the white pattern on the fawn & white.
I find that Fawn has the chocolate dilution and the blue/splash dilution, while the black has neither one. Chocolate is sex-linked, and blue/splash is not.
Do you know which color was the father?
Here is what I think you will get:
If the father is black, and the mother is fawn & white, ducklings should be blue with the white pattern from the fawn & white.
If the father is fawn & white and the mother is black, they will still have the white pattern on all duckings, but the males should be blue and the females "lilac" (that's what the calculator calls the color. I don't know what it looks like-- maybe a darker version of fawn? It's chocolate with blue, while fawn is chocolate with splash.)
Black/blue/splash appears to work in ducks about the same way it works in chickens (one copy of the gene makes black lighter so it is blue, two copies of the gene makes black even lighter so it is called splash.)