At Belfast Crown Court on Wednesday, a jury of nine men and three women were told that 58-year-old Liam Dominic Adams, from Bernagh Drive in west Belfast, denies a total of ten charges, involving the sexual abuse of his now 40-year-old daughter Aine.
She has waived her right to anonymity.
Adams is accused of three counts of rape, three of gross indecency and four of indecent assault which were allegedly committed between March 1977 and March 1983, when his daughter was aged between four and nine.
In a police video-taped interview Aine told a detective how along with her mother and her uncle Gerry, the then Westminster MP for west Belfast, they confronted her father who was living in Buncranna at the time.
However, he denied any wrongdoing.
The jury also heard from the tape that Aine and her mother had also reported the alleged abuse to police.
However, they also learned that complaint was retracted.
Aine said it was because the police seemed more interested in her father and his brother Gerry.
However, Aine said that although she put an end to the investigation she always knew that someday she would go back to the police and confront her father.
"It was always in my head that I would go back to the police... always knew that one day I would," Aine told a detective.
The jury, who were told to decide the case only on the evidence and not on rumour, gossip or speculation, heard Aine describe in detail how her father allegedly raped and sexually abused her in each of the three homes they had lived in, in west Belfast, and later in her father's north Belfast flat.
The abuse, she claimed, started while her mother was in hospital giving birth to her baby-brother Conor, when she was about four.
She remembered, she said, her father telling her "that one day we would run away to Kerry together, but not to tell anybody".
In the taped interviewed Aine further claimed that while she could not actually remember being abused, it had happed before this, and that as he abused her he would often "kiss you like an adult .... open mouth, tongues, everything".
She said she "felt as if I was being suffocated ... I couldn't breathe ... I felt like he had a power over me and I couldn't do anything about it", although she never felt anything like "a shooting pain" as he abused her.
However, she had nightmares "about the suffocating thing".
Aine told police that she never saw herself as a daughter, or an object of affection, and while she could not prevent what was happening to her, she knew that it would stop, so she just "let him get on with it".
She also claimed her father "would take every opportunity" to abuse her, and even when he did not, she always "expected him to do it".
Later under cross-examination by defence lawyer Elis McDermott QC, Aine accepted while she claimed she feared her young step-sister could become a victim, she never reported those fears for up to a year, when she first told her mother in a note.
Ms McDermott put it to the witness that when she and her mother went to police, in February 1987, she had not told either the police, or her mother everything she claimed had happened to her and "deliberately did not start the narrative (of her abuse) until two years later", in 1979.
While she claimed she "thought I was doing the right thing," she earlier said that at only aged 13 at the time, talking in front of a policeman and her mother, she felt embarrassed and in her naivety and immaturity she felt she had only to report that she had been abused.
However, Ms McDermott said that despite her alleged "vivid" memory of the abuse she had suffered, and despite not wanting to hurt her mother, she had made a very detailed statement to police.
Aine said she was trying to protect her mother, telling the jury: "I knew it would hurt my mother in knowing that while she was giving birth my father was raping me".
In conclusion of Wednesday's evidence, Ms McDermott suggested that the reason why she did not tell all, despite her description of them being "vivid memories is because they did not happen at all".
"I can assure you that they did," said the witness.
The case continues. At hearing.