your daughter may be entitled to register as a British citizen by descent (from you) and then apply for a British passport for her.
visit visas are always a gamble, even for those who have good reasons to return to the phils, i don't think it will make any difference because each case is judged on its own merits.
some people have got a VV with little savings or reasons to return and got the visa, while people who have had a lot of money and good reasons to return have been refused, its a gamble. but its probably one worth taking..
