No. TD does not authorize employment. Eligible spouses and unmarried children under 21 may seek TD, but work permission requires its own basis.
Include the activity even when the payer is abroad
The physical U.S. work plan belongs in the review. Children may study while maintaining TD; that does not extend their stay or create employment authorization.
Prepare a separate travel-and-activity sheet for every accompanying person. It should state the principal’s requested TN period, each relative’s relationship evidence, the intended school or work activity, and the document that supports the requested dependent status. TD classification does not confer employment permission.
Hypothetical example: a landscape architect plans a project in Oregon while a 20-year-old child expects to help with the firm’s social-media campaign. The birth certificate, school plan and proposed duties reveal that dependent status does not permit that work. The family must choose between an eligible independent basis for the child or leaving the work unperformed.
Do not use the principal’s employer letter as a substitute for each traveller’s own relationship and activity facts. Record the family decision in writing before departure, including who will study, who will not work, and what independent option would be needed for a proposed job. That prevents a dependent plan from becoming unauthorized activity.