Just a large round silver disk and acorn type craft hovering low in around the center of Deming in around 1965

I was about ten years of age.  Early in the morning my mother went out to hang clothes, she describe an acorn shape object flying low among the tree tops, it did not make any noise.  It flew about fifty to one hundred feet from our home.
Soon afterward, we noticed a large, round, silver object hovering steady to the west of our home.  It was at a stand still for nearly three to four hours clear as can be.  It was very large.  Right in the middle of Deming, n.m.  Then three fighters jets came out of no where and began to approach the object.  To my surprise it went from a football field dimension to a pin in a spit second.  The jet aircraft split in three directions and suddenly it just vanished.  I cannot find anything on this.  
My father and mother and four of my siblings witness this object for hours, it was very large, I cannot understand how this was not witness by the whole city?  
Anyone out there who might add to this sighting?
Witness elects to remain totally anonymous; provides no contact information.  PD