Elizabeth Smyth’s marriage in 1904. Her father was William and he was dead by 1904.
The 1901 census tells you that Lizzie/Elizabeth was born in Belfast c 1873-74. If you have access to Rootsireland and search the possible births with father’s name William, you may find her birth certificate and from that her parents details. There’s about 20 possible records.
Annie was born in Co Antrim c 1853 (according to the 1901 census). That’s before the start of statutory birth registration so you won’t get a birth certificate for her. If she was born in Lisburn then the RC parish doesn’t have any baptism records for the period you need. Obviously she didn’t marry and so no fathers names to be obtained from a marriage certificate. No easy way of identifying her father or mother.