Outrage ... Jacqui with a display tribute to her son
The Prime Minister had outraged Jacqui Janes by mis-spelling her and her dead son's names in a note of condolence.
But Mr Brown DENIED making the mistakes during the 13-minute call to shocked Jacqui.
A transcript reveals the mum of Guardsman Jamie, 20, below, told him: "I beg to differ."
The Prime Minister rang Jacqui to blame poor handwriting for any "misunderstanding" on the spelling exposed in The Sun yesterday.
Outraged Jacqui, 47, hit the phone's loudspeaker button to record the call - as she seized the chance to nail him over equipment shortages that put Our Boys in peril.
She handed her tape to The Sun.
In it, heartbroken Jacqui - whose boy Jamie, 20, was killed by a bomb in Afghanistan - tells the Prime Minister: "Mr Brown, listen to me... I know every injury that my child sustained that day. I know that my son could have survived. But my son bled to death."
Challenging him over too few helicopters being sent to whisk casualties from the warzone, she asked him: "How would you like it if one of your children, God forbid, went to a war - helping protect his Queen and country - and because of lack, LACK of helicopters, lack of equipment your child bled to death?
"And then you had the coroner have to tell you his every injury?"
The PM replied: "I do understand but I think you have got to also understand that I feel very strongly about this as, as you do."
He then went on to deny Britain's Forces were under-equipped - just as he repeatedly denied mis-spelling Grenadier Guardsman Jamie's name in his letter of condolence.
Jacqui told him "I beg to differ".
She said last night of putting the PM on the spot: "I was speaking for every serving soldier who is not allowed to speak and every mum, dad, child, brother and sister of every soldier.
"I felt Jamie gave me the strength somehow and I know he would have been so proud.
"I was shaking because I was so angry about the letter and I had so much I wanted to say to him.
"I don't know why he called. It felt like he was trying to put me right instead of make me feel better."
The mum of six added: "I didn't get the impression Mr Brown felt anything except anger and embarrassment that I made his mistakes public."
Explaining why she made the recording, Jacqui said: "I was so shocked when he called I knew I wouldn't be able to remember what he said."
Mr Brown insisted yesterday as he headed to Germany to commemorate the 20th anniversary of the fall of the Berlin Wall: "I have at all times acted in good faith seeking to do the right thing.
"I do not think anyone will believe that I write letters with any intent to cause offence."
He again blamed his handwriting - even as it emerged he last month called fallen Jamie by the surname "James" in the COMMONS.
That blunder came as he listed 37 servicemen who had lost their lives in Afghanistan over the summer.
His slip had to be corrected in Hansard, the official record of Parliament's proceedings.
The Sun was about to go to press with Monday's paper when the PM phoned Jacqui in Portslade, West Sussex, at 10pm on Sunday.
She had condemned his letter as a "hastily scrawled insult" - claiming to have counted one spelling mistake after another.
The mum was so stunned to get a call from the Prime Minister she missed recording the first seconds of the conversation.
During it she even admitted: "I cannot believe I have been brought down to the level of having an argument with the Prime Minister of my own country."
Mr Brown told her: "My writing is maybe so badly (speech muffled) that you can't read it."
Jacqui hit back: "I don't want to sound disrespectful here, but it was an insult to my child. There was 25 spelling mistakes - 25."
The PM, who in his letter appeared to have corrected the spelling of Jamie, replied: "There wasn't."
Exasperated, she told him: "Mr Brown I've got the letter in front of me."
Mr Brown said: "I've got the letter in front of me and if you feel that my writing was not right then I'm sorry about that."
Jacqui - whose son Andrew, 26, is also in the Army - stressed she supported our troops being in Afghanistan.
But she refused to accept the PM's explanations for the woeful lack of helicopters - highlighted by The Sun in our campaign to remind him: Don't You Know There's a Bloody War On?
Jacqui said: "He has told the country he called to say sorry for any 'unintended mistake'.
"But he completely denied making any mistakes, blaming me for not being able to read his writing.
"And he certainly did not apologise. I wanted people to hear it so they could make up their own minds whether that was an apology - instead of the Downing Street spin on it."
The uproar over his slapdash letter erupted after Mr Brown FORGOT to bow his head at the Cenotaph on Remembrance Sunday.
Yesterday critics accused him of blundering from one self-inflicted crisis to another.
Downing Street officials were left squirming as they had to change their tune over the letter yesterday.
The PM's spokesman initially refused to admit Mr Brown made any mistakes.
The aide said of Jacqui: "Clearly there are things in the letter that she misinterpreted."
But at lunchtime a statement was rushed out by the PM himself as he tried to stem the row.
In it, Mr Brown said: "I take very seriously my responsibility to the bereaved. I have telephoned Jacqui Janes to apologise for any unintended mistake in the letter.
"To all other families whom I have written to, I can only apologise if my handwriting is difficult to read."
No10 refused to comment on how the letter went out at all unchecked.
Mr Brown will continue to hand write notes to the families of fallen Forces personnel - which is a tradition for all Prime Ministers.
Last night Jacqui said of his call to her: "He told me he was sorry I had taken offence, not that he had caused it.
"He said sorry I couldn't read his handwriting and he was sorry I felt so strongly. He said sorry 16 times, but he never apologised once.
"If he calls that an apology he doesn't know what the word means."
She added: "I didn't want one more mum getting a letter like this. It was an insult to Jamie and to all the soldiers fighting for this country. It was indicative of this Government's whole attitude to our Forces."
Describing how she was determined to put her case about equipment shortages, she said: "I had dreamed of that moment.
"We have the best Army in the world and they deserve better.
"I will fight for them in Jamie's memory and I will not stop until the Government finally starts to listen."