The USA only opens the 'green card lottery' (which is officially called the Diversity Visa Program) to people from countries with low rates of migration to the U.S.A.
UK citizens aren't eligible.
Most UK citizens have no chance of emigrating to the USA. If your daughter holds US citizenship, you can apply for an Immediate Relative Visa:
http://london.usembas...ediate-relatives.html
However you should note that the process is far from quick. Friends of mine emigrated to the USA, to live with their daughter and her family, several years ago. It took over two years to get their visas.
If your daughter does not hold US citizenship then (unless she makes a successful application for it) you've got no chance whatsoever of emigrating to the USA unless you meet the very strict criteria applying to employment visas
http://london.usembas...ment-based-visas.html
(or unless you marry a US citizen or a US 'Permanent Lawful Resident')
Chris