Are the sons of her first husband mahrams to her and her daughters from her second husband?

Praise be to Allah.

The sons of your first husband are mahrams to you, because you were the wife of their father and you are not permissible for them to marry, because Allah says (interpretation of the meaning): “And marry not women whom your fathers married, except what has already passed; indeed it was shameful and most hateful, and an evil way” [al-Nisa’ 4:22]. Similarly, they are mahrams for your daughter from the first husband, because she is their sister through their father. 

With regard to your daughters from the second husband, there is no mahram relationship between them and these sons, because there are no ties through blood, breastfeeding or marriage which would create that mahram relationship. 

Based on that, it is not permissible for them to uncover in front of the sons of your first husband, and it is permissible for them (the first husband’s sons and your daughters) to marry one another.

 Al-Kasaani said in Badaa’i‘ al-Sanaa’i‘ (4/4): 

It is permissible for a man to marry a sister of his half-brother through his father. What that means is if his father's wife gave birth to a son, and she had a daughter from another husband, that daughter is the sister of his half-brother through his father, but it is permissible for him to marry her. End quote. 

This is the situation mentioned in the question. It is permissible for the sons of your first husband to marry your daughter from your second husband, who is the sister of their sister through the father. 

And Allah knows best.