The qualifying period for ILR is 24 months living in UK
You may apply 28days before the end of the qualifying period.
In your case 28 days before November 14 2013
So the earliest date that your ILR application is allowed to be made would be 18 October 2013
Generally it's not a problem to apply ILR with your maiden name still on your passport.
But in your case your passport will expire August 2013, so you must renew it in plenty of time before making ILR application.
I would suggest you call up the Philippine Embassy in London early in 2013 to arrange for a passport renewal (you can also change your name) then you will be in good shape for your ILR application.
I would download the ILR application form from the UKBA webpage here
As there are some documentations that you need to be collecting right now
You need Form SET(M) - see top right hand side
Hope this helps you