Family permissions depend on actual qualifying status and documentation, not the number of reporting levels beneath the principal applicant.
Use each person’s actual status
Qualifying L spouses are employment authorized incident to status with appropriate documentation. Children gain no work permission solely through L dependent status. Internal seniority does not expand those immigration rights.
Each family member has one record that governs their permissions, and it is their own admission record, not the principal’s. Retrieve it from the official system after entry, check the class of admission printed on it and the date until which the stay is authorised, and keep a copy with the civil documents proving the relationship — marriage certificate, birth certificates naming the parents, with certified translations where the original is not in English. Hypothetical example: a family enters together and assumes uniform treatment; the records afterwards carry the same date but a mistyped class for one child, which is a correction to seek promptly through the applicable process rather than a detail to leave until a later renewal.
A qualifying L spouse is employment authorized incident to status with the appropriate documentation; children are not, whatever the principal’s seniority. When an employer asks for proof of a dependent’s work permission, the answer is a document, not an explanation of the chart.