"What are her rights? "
The most important question is what rights has the gready aunt = Nothing or very small
as long as your lola is alive.
Your grandmother is alive, so she own more than half anyway.
" Can they have the title? Or can they even sell the lot that easy?"
Not legaly (if they don't FOOL your grandmother to agree to sell, then there are SOME risk they can get it through.)
You say "titleS". Is it possible to SPLIT them, so them, who want to sell, can get their share WITHOUT llola's home is sold?
Did your lolo and lola get 2 kids?
Can your mother prove lolo gave her the control?
If all these are "Yes" then I interprete it as this:
Beside the right lola have to use the property, she OWN at least 1/2 + 1/8 = 5/8
1/8 to your mother and 1/8 to your aunt.
Then it's 1/8 left, which is some unclear, but the "control" Yes, I interprete as lolo wanted your mother handle it but belong to lola. If so 3/4 belong to lola.
If one heir can prove she has paid biger part of the tax, then she can ask for compensation, but I don't know what a judge/captain would decide about that.
"What should my mom do?"
/Ignore the annoying aunt
/OR suggest the aunt can get her 1/8 part, if (roughly) such split is possible, but then she has to make sure the aunt SIGN she had got that before the split which will happen when lola die.
/If either of these functions ok enough, she can ask the
Baranggay Captain for assistance to try to solve it. Then he/she will ask the involved for their oppinons.