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I have read through your query in detail.
With symptoms of nausea
which are acute in onset, it would be important to consider viral illnesses in the differential diagnosis. It can be a severe attack of flu
or one of the viruses having affinity for the head region including the respiratory passages. Keeping in mind that the children in the house also had illness ten days back, severe flu attack is the first possibility. The vomiting might have occurred because of dehydration
and less fluids intake.
However a complete clinical examination is important and other investigations like blood tests might be needed if there is persistent illness with worsening of symptoms.
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