Ok, so the lacing is more or less recessive? Like red hair in humans?
Um, not quite.
There's a combination of genes that work together to cause lacing. Minor variations cause spangling, or pencilling, or multiple lacing. They tend to be dominant over the not-laced or not-spangled (etc) forms.
They can show up on E^R, E^Wh, e^b, e+, and so forth.
But not on E.
If you breed a crossed pullet back to her father, some chicks will show lacing because they will not have E. That is the particular genetic piece that matters for this.
If you're using this form of the calculator:
http://kippenjungle.nl/breeds/crossbreeds.html
You can select almost any breed/color from the list at the top, select E, and watch the bird go black. They almost all do.
If there's a good intro article/thread, let me know. I don't want to bug you with basic genetics questions. But most of what I found online so far either assumed I already new the basics and dropped me in the deep end or seemed overly simplified.

I know. It's a problem finding things at the right level.
You could try this:
http://sellers.kippenjungle.nl/page0.html
It has links to part one (basics of genetics)
and part two (talks about some chicken genetics)
and part three (mostly a table of chicken genes, with a bit about each one)
I don't know whether you need the genetics basics--I was able to mostly skip that page, so I can't comment on how helpful it is. I found page 2 helpful in some places but other places just looked like a confusing collection of anecdotes. Near the bottom it's got some charts of genes that interact to make specific color patterns, which I've referred to quite a few times. I've used page 3 the most, because it tells a bit about each specific gene, organized in a format that made enough sense for me.
Sometimes pages about specific genes (blue, or lavender, or creating sex-links) can be helpful for understanding the basics of how the genes work, and after that it's easier to see how other genes work in similar ways.