Hello, my name is ***** ***** I'd like to answer your question.
A "voluntary departure" for unemployment insurance reasons is not exactly the same as voluntary departure in other contexts. Your situation may fit the definition (and thus no benefits) or not, depending.
If there was a change in your hours or work location that made child care impossible, that will count as the same as a layoff and you should get benefits. If you just had difficulty finding child care because your prior caretaker quit, that would not get you benefits.
So my suggestion is just write it so that you put your best foot forward ---focus on anything the employer did, such as change your hours, and cross your fingers!
As for style, your best bet is to get a friend or spouse to read it over after you've written it and before you send it in. He/she can make sure that you are clearly making your point.
If I have fully answered your question, please rate the answer by using one of the buttons below. If you need additional information, use the reply feature. Good Luck.