This is really sad - went to bed thinking of your Joseph and realised that Mil on the 1871 is really Nil as in 'no occupation'

Funny you should say that about his parents - his birth is on the IGI on Family Search and it is an extracted record from the Parish records so should be accurate
Here you go -
Joseph Ledam
Christening: 26 JAN 1824 Edgbaston, Warwick, England
Parents:
Father: JOSEPH LEDSAM
Mother: ELIZABETH ANN ASHTON
Also:
Frederick George Ledsam
Christening 30th Dec 1826
Parents:
Joseph Frederic Ledsam
Elizabeth Ann Ashton
Ann Julia Ledsam
Christened 28th Nov 1828 Edgbaston
Parents:
Joseph Frederick Ledsam
Elizabeth Ann Ashton
William Ledsam
Christened 8th Dec 1832
Parents:
Joseph Frederick Ledsam
Elizabeth Ann Ashton
Emily Agnes Ledsam born 2/9/1834
Christened 23/10/1834
Parents:
Joseph Frederick Ledsam
Elizabeth Ann Ashton
James Goddington Ledsam
born 9th August 1836
christened 3rd May 1837 Edgbaston
Parents:
Joseph Frederick Ledsam
Elizabeth Ann Ashton

Tricia