Charmain Adusah was found face down in a bath at a hotel in the country in March.
She had been attending a Christian event with her husband, Pastor Eric Adusah, the leader of the Tottenham branch of Global Light Revival Ministries.
African media claims the woman, who was originally from Arbroath and three months pregnant at the time, died from a heroin overdose but this is disputed by her family.
Pastor Adusah has been arrested in connection with her death and has made two court appearances since.
The pair were considered the 'first couple' of the church after they married last September following a whirlwind romance.
The 41-year-old's family have now launched an online petition urging the UK Government to investigate and help repatriate her body to Scotland.
It says: "The police in Ghana have not asked the police here in Britain to get involved.
"We are asking the leaders of our government to get involved to allow an independent coroner carry out an autopsy on behalf of the family and to allow her family to get her body home to be laid to rest.
"It is now 11 weeks since we her family were told of her death.
"We, the undersigned, call on the government to help get Charmain a British citizen home to be laid to rest."
Charmain's mother Linda Speirs told Dundee's The Courier newspaper that claims she took a heroin overdose were "a lot of rubbish".
She said: "He claimed that she threatened to commit suicide on text messages - yet these weren't found on his phone.
"When she arrived in Ghana (at the end of February) he texted me to say that Charmain was happy and had been swimming and shopping and that she was being treated like a queen.
"That doesn't sound like someone thinking about suicide and she would never touch drugs."
A Foreign Office spokesperson told Premier: "We can confirm the death of a British National in Ghana. We are providing consular assistance to the family at this difficult time."