No. Children do not receive that spousal work benefit. Ownership alone is not immigration authorization for the proposed activity.
Identify the actual family status and role
Eligible E dependents include a qualifying spouse and unmarried children under 21. A qualifying spouse may work incident to valid status with appropriate evidence. Assess each person rather than treating all co-owners as one permission holder.
Family businesses accumulate structure over decades: a holding company, a family trust for estate planning, shares issued to a spouse for income-splitting, an estate freeze that created several classes of shares. Derivative status depends on being unmarried and under twenty-one, and there is no conditional residence or immigrant petition running in the background to convert into something durable, because this category leads nowhere permanent on its own. The principal must still establish treaty nationality, qualifying enterprise ownership, power to develop and direct through half ownership or genuine operational control, and substantial lawful capital that is irrevocably committed and at risk. Families who assume that a decade of successful trading eventually converts into residence are usually the ones who discover otherwise at an inconvenient moment, often when a child approaches twenty-one and their derivative status ends.