Hello sally sanchez, welcome back.
So very sorry to read the story of your loss of your wonderful hubby.

It's almost impossible to give definitive advice and help as you and only you will know the path.

I fully agree with what Harry posted and most specifically this:-

Quote Originally Posted by Harry T View Post
... I think once you have come to terms with your loss you will be able to do the thing that is best for you, your Keith would only want one thing and that is for you to be happy, do not think that going back home would be something against his memory ..
Yes it's in your favour to apply for ILR under existing UKVI regulations for someone in your circumstances. Something we would all advise. This ILR will certainly allow you time to evaluate your longer term strategy and your UK friends/family support network.

Whether or not you feel it right to remain in the UK in order to secure British Citizenship will become clearer as time moves on.
Do however be aware that this is a longer term strategy as you will not be eligible for application for Naturalisation until you have completed 5 years living in the UK.
There are residence requirements to consider which may or may not be important to you and you should review these.
In principle, you should not really consider absences from the UK of more than say 90 days in the 12 months leading up to application and additionally not more than 450 days outside the UK during the 5 year residence period.
Well at least it gives a basis for consideration on what's ahead.

The above residence requirements may or may not impact the times you feel you need to be with family in the Philippines, but do be aware.

Do allow time to reflect on what is best for you and your family in the longer term.

Good luck and very best wishes in whatever you decide to do.