Does Sarah Palin have Mormon Ancestors?

I love to do family history research, so this is a fun question to ask. If anybody who reads this blog can find any additional information, please share it in the comments section:

From Wikipedia:

"Palin was born Sarah Louise Heath in Sandpoint, Idaho, the third of four children of Sarah Heath (nee Sheeran), a school secretary, and Charles R. Heath, a science teacher and track coach. Her family moved to Alaska when she was an infant. As a child, she would sometimes go moose hunting with her father before school, and the family regularly ran 5K and 10K races."



I could not find any information about her father to make a definitive connection, but I may have found her grandfather. Charles Renfrow Heath was born 17 October 1923 in Pocatello, Bannock, Idaho. He served in the Army in WWII. According to his obituary in the Idaho State Journal he was a member of the Church of Jesus Christ of Latter-day Saints, he enjoyed fishing and hunting, he married Mary Johnson on 19 August 1930, and he was survived by family members which included his son Charlie R.

Can anybody confirm or deny that Charlie R. is not the father of Sarah Heath Palin, the Vice President running mate of John McCain, republican presidential nominee?