To get started, look in the yellow pages for your local LDS (mormon) family history center. There you will find many many resources to help you in your search. The people at the family history center are very helpful.
The first thing you need to do is start with yourself and work backwards. You will want to ask every living relative (especially the eldest) any information they might have on the family. The most important part of researching your family is keeping accurate records (i.e. dates, places, etc.). You might want to purchase a genealogy program for your computer or download one from the family history center that is on the Internet. Their address is: Familyhistory.comYou can also do researchthere as well. Also check out Ancestry.com
I am a Weingartner myself. I lived most of my life in Illinois. My g-g-grandfather came from Pfaffenrot, Baden, Germany. The town changed it's name to Marxzell. My g-g-grandfather's name is Engelbert Weingartner. His father's name is Ignatzi Weingartner. And his father was Joseph.
If you find during your search that there is a connection, please contact me!