Eligibility for NWOHR passport+TARC if no active household registration at time of birth

Tando I want to know if MY grandfather have a HHR but what if he dont have taiwan id.and has only taiwan passport and PASSED away already did my mother get a TARC?
2)you said lineal relatives what if my mother have siblings 3 of them and all of them left taiwan to live in the philippines and can my mother use there previous HHR to get a TARC?