She left the family home for Westmoreland County when she was hired by the Carter family to teach their children .
Utilizing her father 's extensive library , Leache was self - taught in algebra , calculus , geometry and trigonometry , as well as the German language .
Leache left the family home for Westmoreland County when Leache was hired by the Carter family to teach their children .
Utilizing her father 's extensive library , Leache was self - taught in algebra , calculus , geometry and trigonometry , as well as the German language .