A man accused of being a “fanatical” neo-Nazi terrorist allegedly posed for a photo with his newborn baby while wearing the hooded white robes of the Ku Klux Klan (KKK), a court heard.

Adam Thomas, 22, and his partner, Claudia Patatas, 38, gave their child the middle name Adolf, which the prosecution has alleged was in honour of Adolf Hitler.

Jurors at Birmingham crown court were shown the image on Monday, along with another photo showing Thomas holding a swastika flag next to a smiling Patatas, who is holding their baby in the couple’s lounge.

Another image, from what Barnaby Jameson QC, prosecuting, called the “Thomas-Patatas family album”, allegedly showed Thomas at home in a KKK robe brandishing a machete in front of a US Confederate flag.

Thomas and Patatas, of Banbury in Oxfordshire, are accused of being members of the far-right group National Action, which was banned in December 2016. Co-defendant Daniel Bogunovic, 27, from Leicester, faces the same charge.

Nazi and far-right memorabilia, including National Action flags, badges and banners, were found at the couple’s home, as well as what prosecutors described as an extensive collection of weapons, including crossbows, an axe and knives.

The couple also allegedly had a poster stuck to their fridge reading “Britain is ours – the rest must go”, and had a swastika-shaped pastry cutter in a kitchen drawer.

Thomas faces a separate charge of having a terrorist document, the Anarchist Cookbook, which contained bomb-making instructions.

Jameson showed jurors a series of photographs including one, found on a memory card at the house, showing Patatas holding her baby, standing next to another man holding a swastika flag and performing a Nazi-style salute.

Describing another image, said to show Thomas in the hooded robe with his child, Jameson said: “The suggestion is that is Mr Thomas and his child, whose middle name is Adolf.” Turning to an image of a hooded man with a machete, he added: “There is a strong inference, and you’ll appreciate this when you look inside the Thomas and Patatas house, that that was taken inside their home, and that the person in the robes was Thomas.”

A picture showing Claudia Patatas holding her baby alongside a man with a swastika flag giving a Nazi salute. Photograph: West Midlands police/PA

It was alleged last week that in a message to another “vehement Nazi”, Patatas said: “All Jews must be put to death,” while Thomas told his partner, in a separate conversation, that he “found that all non-whites are intolerable”.

Two cushions bearing the swastika were found during police searches of the couple’s home after their arrest for alleged terrorism offences in January. A greetings card on the sideboard of their living room featured KKK figures and read: “May all your Christmases be white.”

It emerged in court that counter-terrorism officers from Prevent had visited the couple’s home in October last year “due to concerns Ms Patatas may be involved in the extreme right wing”.

After the ban on National Action, the prosecution alleged the group tried to “shed one skin for another” to evade the law and that the three defendants were part of a successor organisation, the TripleK Mafia.

The crown’s case is that the group was still National Action in all but name, and went through a rebranding exercise to evade scrutiny by the authorities. Jameson said: “The crown say all the defendants in this case along with those that have pleaded guilty or been convicted were cut from the same National Action cloth.

“They were fanatical, highly motivated, energetic, closely linked and mobile. And they all had, we say, a similar interest in ethnic cleansing, with violence if necessary, and the evidence in this case, we say, speaks for itself.”

All three defendants deny the charges. The trial continues.