The Truth said:
I heard that you can't be a jew if your Mom is not a jew even though you wanted to convert so there is a speicfic name for "non-original jew" (but i forgot the name) which make it so clear to others that this is not a real jew.
I think what you're thinking about is a Noahite (Jewish without being Jewish). It's just a code of laws (7) that a person can abide by.
Reform and Conservative conversions don't make you a Jew. Converting to become a Jew means at minimum 6 months of study in my opinion. For some people, it can take years, they won't convert you until they feel confident you will follow all the Laws of the Torah and have a good strong educational background. I felt so bad for this women who attended Shul for over 2 years and then gave up because the Rabbi's felt she didn't know enough. Reformed and Conservative give you a certificate and you pay them for a conversion. In my opinion, you can't buy the status of being a Jew, it's something you're born into, or it's something you are that defines your actions, thoughts, and most importantly your view on life. For example, college students in general biggest concern is getting laid, a Jew's biggest concern is how to serve Hashem properly.
Now, there are differences for a Jewish women who converts to Judaism. For example, I am halackily related to my mother, but let's say my mother converted to Judaism
while she was pregnant with me. A complicated question arises with regard to a non-Jewish pregnant woman who converts to Judaism during the pregnancy. What status should the child, me, have? On the one hand, I'm born to a Jewish woman. On the other hand, I was conceived when my mother was a non-Jew. So it's a complicated matter, but that is what Rabbi's are for.