There is a short but very good video on the foundations website that gives a good insight into what they are looking for in applications. well worth a view even if you are not applying to them it is relevant for many other trusts. http://esmeefairbairn.org.uk/apply-for-funding/hints-and-tips

If you are applying to them they have a very useful catalogue of past funded projects to give you an idea of what they like to fund.