I don't know if he is part of that family (the information I found says he was of the House of Wettin) but here are the names of his children:
Friedrich August Georg, Crown Prince of Saxony (1893- 1943) Became a Jesuit priest and renounced his rights in 1923--assassinated by the SS.
Friedrich Christian, Margrave of Meissen, Duke of Saxony (1893-1968).
Ernst Heinrich, Prince of Saxony (1896 - 1971).
stillborn daughter, 1898
Margarete Carola Wilhelmine (1900 - 1962).
Maria Alix Luitpolda (1901 - 1990).
Anna Pia Monika (1903 - 1976). She is said to be the product of his wife's affair, but Friederich August raised her as his own.
Note the two oldest boys were born in 1893, the first in January and the second in December. He married Archduchess Luise, Princess of Tuscany, in 1891. In 1903 she ran away, pregnant with the last child, Anna Pia Monika. He then divorced her. He seems like a nice guy, with a wonderful sense of humor. While standing at a railway station, dressed in his uniform, a woman commanded him to move her trunk for her. He replied, "Madame, I am not a porter. I only look like one."
For more information, try looking at the thread, "Re: Kings and Spouses of Saxony".