Editor's Blog12 mins ago
visa requirement
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For more on marking an answer as the "Best Answer", please visit our FAQ.This is what the Foreign & Commonwealth web site says about the Netherlands Antilles:
Tourist visas are only valid 14 days. Extensions are available at immigration.
Single parents or other adults travelling alone with children should be aware that some countries require documentary evidence of parental responsibility before allowing lone parents to enter the country or, in some cases, before permitting the children to leave the country. For further information on exactly what will be required at immigration please contact: Netherlands Representation in the UK.
This appears in the section covering the British Virgin Islands:
There is only one hospital in the BVI and medical facilities are limited. Complex medical problems are frequently referred to hospitals in the US Virgin Islands, Puerto Rico, or the mainland USA. The US visa waiver scheme does not apply to one-off charter flights. Special arrangements have to be made for any non-US visa holder who is medically evacuated by charter flight.
So it looks as though you would need a visa to travel to the U.S. Virgin Islands (unless you have a machine-readable passport and qualify for the Visa Waiver Scheme).
I think you should contact the U.S. Embassy: 020 7499 9000, option 1