Anthony is the last of ten children of Andrew Leep and the second son of his second marriage, to Catherine Otto.

Animal diseases, coldness, dust bowls, drought, several successive crop failures and low grain prices caused Anthony's parents to leave with their children Canada and in 1921 the family moved to Shepherd, Yellowstone County, Montana, where they stayed for about six years, still being engaged in farming there. In this period their sons Benjamin and Anthony were born in 1924 and 1927. From Sheperd, Montana the family moved to the river city Quincy, seat of Adams County, in the utter western part of Illinois, where they were developing the fertile Mississippi bottoms for garden tracts.

So in 1930 Anthony J (2 y, born in Montana), his father Andrew Leep (54 y), his mother Katherine (44 y), his stepbrothers Edward Leep(22 y, born in Chicago), Nicholas Scheffleer (19 y, Holland), his stepsister Mary Leep (16 y, Canada) and his brother Benjamin (5 y, Montana) lived in Melrose, just southeast of Quincy, Adams County, Illinois.

This seemed a good opportunity for his father to resume the old vocation, gardening, but was also doomed to failure. Here it was a case of too much rain. The Mississippi river threatened to overflow her borders, finally breaking the levee, inundating thousands of acres so suddenly that the people had to be rescued by boats. So that project had to be abandoned too. The family Leep then moved to Martin, Allegan County, in the western part of Michigan, where his father did some gardening,

In April 1940 Anthony (12 y), his father Andrew K. Leep (65 y, carpenter in the rough building industry), his mother Mary Catherine (55 y) and his brother Benjamin (15 y) resided at a rented home in Martin, Allegan County, Michigan. In 1935 they lived at the same place.

Finally they moved to Grand Rapids, where his father found employment in a greenhouse. His mother Katherine passed away in March 1950 at the age of 64 years at her home at 1313 Kalamazoo Avenue in Grand Rapids, Michigan.
In 1943 Anthony, his parents and his brother Benjamin were member of the Beckwith Hills Christian Reformed Church in Grand Rapids, Michigan.

He married about 1947 Theresa L Janis.
They once lived in Eustis, near Orlando, Lake County, Florida, and in Grand Rapids, Kent County, Michigan, but in May 2013 they are living in Sand Lake, about 20 miles north of Grand Rapids, in Kent County too.