> In the Fall story in Genesis 3, there's no specification of just what
> the knowledge is knowledge of, other than it's knowledge of good and
> evil.

I agree. But I find the immediate reaction of Eve and Adam to eating
suggestive: they felt (sexual) shame and so covered their bodies. This
suggests (but is implicit rather than explicit) that the knowledge they
gained was sexual.

> Both Adam and Eve (and the snake) get punished in Genesis. Eve's
> punishment includes pain in childbirth and Adam's includes finding his
> daily work a burden.

I think you are a trifle sanguine in dismissing the weight of the childbirth
penalty Charles. The Church banned anything that reduced the horrors of
childbirth because women are supposed to suffer (similarly upper class lords
did not see the need to see to safety or comfort of their workforce because
workers were supposed to suffer). When anaesthetics were first invented it
was for use in childbirth but the Church tried vigorously to stop them being
used.
This is not just history either. Doctors are still taught that the vagina
feels no pain and so examinations and stitching are done roughly and
painfully; protests from the woman concerned are met by her being told she
imagines any pain as her nerve endings cannot transmit it in that region!
Women are still left to struggle with huge amounts of unnecessary pain in
childbirth because of this tradition.

Silke, Lilith is not just from Jewish folklore. She is in the Apocrypha, a
collection of biblical texts rejected by the Church in around 400CE but
accepted by Judaism.
Specifically Lilith refused to have sex with Adam in the 'missionary
position'; this was her rebellion. She obviously understood what we have
only recently rediscovered that only a minority of women and men actually
find this position pleasurable, in fact it is the least likely position to
serve female sexuality adequately so for most of us it is best dumped.

Lilith was older than Judaism though, going back to a Sumerian Goddess of
similar name who was matron of wisdom and independence. Several Judaic myths
seem to have been derived from Sumero-Babylonian religion, though rather
distorted versions. This is unsurprising as Hebrew slaves or descendants of
slaves were unlikely to have gained access to the temple circles of
priestess scholarship. Presumably they learned to participate in the public
observances, and took the accompnanying popular stories home to Israel
later, but as outsiders do understood them imperfectly.
The garden of Eden is another example as well as Lilith, as is the Flood and
Noah. The bit about making one partner from a rib is I believe a gender
reversal on the older version.