Two of the three children of William and Harriet are still with their grandparents (William and Mary HODGES) in 1861 but now at Welland.
William Hodges 59, carpenter, b Eastnor Herefordshire
Mary Hodges 59, laundry, b Castlemorton (as are William and Jane)
William Hawker 18, grandson - In the column where it asks about disability, there is an entry for William which I think says "Cripple"
Jane Hawker 12, g'daughter
An on-line tree which cites references suggests that William died, aged 27 and FreeBMD has this death:
William Hawker, 27,
Registered: Upton-on-Severn, Vol 6c, p171 (Upton registration district included Castlemorton)
Jane marries William Williams in 1870 at Worcester (Henry is a witness) and is still in Worcester with her husband in 1911.
In 1861 Henry is in the hamlet of Hanley Castle, employed as a servant for Richard and Ann HILL.
I can't see him with certainty in 1871.
This appears to be his marriage and the birth of his daughter (from FreeBMD)
Marriage, March qr 1873, registered Rochdale,
Henry HAWKER, Vol 8e, p40 and on the same page Emma HAMILTON
Birth - seems to be two entries on the index
Dec qr 1870, registered Rochdale
Hawker Edith Alice Rochdale Vol 8e, p15
HAWKER Edith Alice Rochdale Vol 8e, p16
Judith