The bizarre sighting is said to have happened in Normanton, West Yorkshire, when one of the children ran into the kitchen and told the mum a plane had landed in a field.
Joyce Westerman and all six children were interviewed by UFO investigators and gave a similar account.
The case has been detailed by veteran British UFO investigator Philip Mantle, as his most memorable investigation, as he prepares to retire from the UFO conference scene.
He said: ”Accounts of UFOs allegedly landing and their apparent occupants being observed as well is remarkably rare, but I investigated such an account with my colleague Mark Birdsall of the Yorkshire UFO Society.
“It has stayed with me ever since.”
Mr Mantle said he was told it was around mid-afternoon when her eight year old daughter ran into the house shouting and crying and telling her mother to “come quick, an airplane has just landed in the field.”
He said: “Just a matter of a few hundred yards away, in the fields adjacent to her house, she saw an object on the ground.
“It was a dull grey colour and had the appearance of a “Mexican hat”.
“Around the object stood three very tall “men” all of who appeared to be dressed in silver suits.
“These men seemed to be pointing to a dark instrument on the ground.”
He said the witnesses described it as looking light a torch with no light.
Mr Mantle added: “The uniforms the men wore, were metallic silver and would crease when the men moved.”
They said the men then went to the rear of the “craft” and it “rose vertically, stopped in mid-air, and then shot off at an angle at a high rate of speed.”
Mr Mantle said: “All of the witnesses stated quite clearly that both upon landing and departure this object never made a sound.
“Needless to say they were speechless. All six of Mrs Westerman’s children related similar accounts to us.
“There were minor discrepancies but we expected to find that from different people.
“I have often been asked by people down the years which one UFO case is the ‘best’ one I have come across and I have to say that Mrs Westerman and her six children is the one that for many reasons is always at the top of my list.”
The events happened in early summer 1979.
Mr Mantle will recount this and a number of other UFO cases at the Outer Limits Magazine UFO conference in Hull on September 9.