I don't have a definite answer, but here are some thought that might help with figuring it out:
When you say some of your chickens are "parti," is that short for partridge? Or is it a different color? (I don't recognize the term, so I suspect autocorrect has been causing trouble here. Or else I need to learn a bit more about color names.)
The color of the chicks makes me think they will grow up black, or mostly black. So I would expect at least one parent to be black (or blue or mottled or another black-based color.) I'm not clear on how many of your chickens that might be. For example, you did not state the color of your Satin Showgirls or your Polish.
Feathered feet mean that at least one parent should have feathered feet.
If they grow frizzled feathers, they must have a frizzled parent.
If they grow silkied feathers, they must have two parents that have silkie feathers or that carry the silkie gene (Satins and/or Showgirls might.)
Some birds with naked necks can produce chicks without naked necks, so the Showgirls might be a possibility, depending on what color they are.
Chicks from a Polish should grow crests, but they might not have a bump on the skull like pure Polish so often do, so I am not sure whether a Polish mother is possible for these chicks.
I see light feet with no extra toes, which makes Silkie and Showgirl parents much less likely than the other options.
I cannot see the comb type in those pictures. If they have two Cochin parents, they should have single combs. For any other parent combination, the chicks are likely to have some other kind of comb (varies, depending on which parents are involved.)