Dual Citizenship for Son of French Mother Living in USA

I'm seeking insight on procedures to certify dual French and American citizenship. In the last five years I have sent two letters to the French Consulate General in Los Angeles (when I was living in Colorado) and one to the Chicago office about two years ago after temporarily moving to Ohio. I received no reply. Here are my facts in detail.

1) I do not read, write or speak French yet. (This is a obstacle but should not be relevant);
2) I was born an American citizen in Ohio in 1951;
3) My father (now deceased) was an American citizen living in America;
4) My mother was born in Nancy, Lorraine, France in 1925 to French parents there;
5) My mother came to the USA around 1945 where she married and later divorced a man who was in her life before my father;
6) My mother was then with my father and gave birth to me in 1951. (He refused to marry her but it was essentially a common law marriage that ended in divorce in 1956);
7) My mother has lived in the USA continuously since her original arrival except for a few return visits to France. She is elderly and finds it difficult to return to France due to her heart condition. And both myself and her previous European born daughter live in America;
8) My mother has NEVER sought or obtained American citizenship;
9 My mother is developing age-related memory problems that I am afraid might complicate documentation. (She lives in Arizona and I live in Colorado and Ohio.)
10) I have my Ohio birth certificate as a document showing that my mother was born in France;
11) My mother's French-born sister and descendants live in the area of Pompey, Lorraine, France.

I have come across numerous brief testimonials by persons on the Internet who have successfully claimed dual French American citizenship under nearly identical circumstances. But I don't yet know how to do it. Notwithstanding the legal issues, I think it should not be hard to understand that I have an interest in my French heritage. I will commit myself to learning the language if and when my dual citizenship is affirmed. I am a writer/photographer and now have enough money to visit France. But more importantly, I will eventually want to live there for at least ten years of my life.

Anyone out there who knows the facts?
- French Yankee