The old forms have been replaced by the ESTA (Electronic System for Travel Authorization).
Anyone who is eligible for entry into the USA under the Visa Waiver Program (which, for UK citizens, basically means that they've never been arrested or convicted of a criminal offence), now has to obtain an 'ESTA' online prior to travelling. It was originally free but (since 8th September last year) the US authorities now charge a $14 fee.
There are plenty of 'rip off' sites which charge you their own (often hefty) 'administration fee' to forward the information to the official website. So it's only that official website that your daughter should use to obtain her ESTA from:
https://esta.cbp.dhs.gov/esta/
Your daughter's passport should qualify for entry under the Visa Waiver Program. If in doubt see here:
http://london.usembassy.gov/mrp_bio.html
Chris