F1 for mom and F2 for child.

[Vindu]

Applying for F1 for mom to study (fully sponsored by corporate) and F2 for kid together as can't stay without mom.spouse prefers to stay in India and visit US during vacation? What is selection rate, qns asked and financials needed in this case
And practically how feasible it is in us to manage 4 yrs old alone? Are there any free schooling available for 4 yrs or we should rely on day care?