What colours are you wanting? If you are wanting whites, then its actually pretty easy with the birds you currently have.
Your white rooster over your black hen has made black babies that carry white. If you bred the black ladies either back to the rooster you have or to another white rooster you would get some white babies, some black, and some partridge I think, (should be 1/2 white, 1/4 partridge, 1/4 black chicks)
Now by speckled I am going to assume its either a Splash or a Paint. The different between the two is a paint is black spots and a splash is "blue" spots (they're a light-dark grey instead of a pure black) You can google for images
1. If your hen is a SPLASH the babies she makes with your white rooster should have made BLUE chicks, which until they get older may be hard to tell apart from a BLACK chick, so keep an eye on them!

2. If your hen is a PAINT then I have no idea what she would make, chances are she's honestly a Splash. PAINTS are much more rare and their genetics are still very unknown and I would not introduce them into your breeding program because there are many imperfections in this colour to my knowledge like too much or not enough colour in places like the skin or ears
Now, your white rooster with the porcelain girls SHOULD have made golden chicks, so I think majority of your chicks are from your "speckled" or black hen, not your porcelain sadly...
If you are looking for chicks or birds from reputable breeders I would look on Facebook probably, or on here
maybe check craigslist but chances are better on Facebook, good luck chicken-ing!
