I´m doing some research on Innana, sumerian goddess. My interest was first raised as I read about her in a Jungian context. I just HAD to dig deeper. In the babylonian pantheon she is known as Ishtar.
I have found the myth of her descend into the underworld in full translation
here

Do anyone have any info on her?

Is it corrert that her symbol is a eight-pointed star? Have she been asociated with snakes?

She is definatly calling. For some reason.

Deerheart

My spelling is awful. It´s Inanna. Of course.

I know the Goddess Ishtar by her semetic name Asherah (or Astarte) and have communicated and called upon her as the consort of El. I'm afraid I don't know as much about the Sumerian culture but there is a wealth of information available once you start digging about Asherah and El and Cannaanite beliefs and history pre Judaism. Also there are Cannaanite/Egyptian links between Asherah and Bast/Sekmet in lioness form and between El and Ptah.

Asherah is also called Elat (the feminine form of El; compare Allat) and Qodesh 'Holiness'
In Egypt, beginning in the 18th dynasty,
a Semitic goddess named Qudshu ('Holiness') begins to appear prominently

The goddess Asherah, whose worship Jeremiah so vehemently opposed, was worshipped
in ancient Israel and Judah as the consort of Yahweh and Queen of Heaven
In Ugaritic an alternate plural form meaning 'gods' is ’ilhm, equivalent to Hebrew
’elohîm 'gods'. But in Hebrew this word is also used for semantically-singular
'God' or 'god', is indeed by the most normal word for 'god' or 'God' in the singular
(as well as for 'gods').

(the Hebrews baked small cakes for her festival):[
Ptah is often called the lord (or one) of eternity and thinks it may be this
identification of El with Ptah that lead to the epithet ’olam 'eternal' being
applied to El so early and so consistently.
The most likely derivation comes from the word Elohim ('lhm) found in the Ugarit archives,
meaning the family or pantheon associated with the Canaanite father God El.

http://en.wikipedia.org/wiki/The_Early_History_of_God
http://en.wikipedia.org/wiki/Yahweh
http://en.wikipedia.org/wiki/Tetragrammaton
http://en.wikipedia.org/wiki/Elohim
http://en.wikipedia.org/wiki/El_%28god%29
http://en.wikipedia.org/wiki/Asherah

Hope its some help when digging!
BBs LL

Digging around some old books, her original name may have been Ninana which translates as "lady of the sky". She was a goddess of war and love and was a lusty one. Apparently she was particularly associated with Uruk. She is the daughter of Nanna, the moon god, and sister to Utu, the sun god, and Ishkur, the rain god, and Ereshkigal the queen of the underworld.

Another myth to read is Enmerkar and the Lord of Aratta.

sacred texts

The above may also be useful in your search. Hope it helps-she is a fascinating figure