children born after ILR

hi
a)my child born in UK while i was on ILR.
do i need to register her on MN1 form,
plz let me know the process for getting her british passport

b) 1st child was born in india while i was also on LTR , she is on LTR here
can she apply for naturlisation or not?

a) MN1 not required.
b) Child's ILR and at least one British parent and other parent's ILR expected.