First given name from New Zealand Electoral Roll when searching daughter Lilly. Wairarapa Roll 1900, found in May 2020:
Shaw, George, Waihakeke, farmer, residential
Shaw, Jane, Waihakeke, married, residential
Shaw, Jane Emma, Waihakeke, spinster, residential
Shaw, Lilly Burton, Waihakeke, spinster, residential

No record of marriage could be found on the New Zealand BDM website as at May 2020.