Hi All
While I'm on a runner though wise!
Then no abode of John Henry infant in the 1871c with any direct known relo's also Let assume Hannah is up the swaney spout 
with John Henry in 1871 at Batley end (Daddy a Engine tender on the  railway) of Morley Railway Tunnel and James is in some foundry at the other end in Leeds
 prob Kirkstall or Elland Road (Now football ground now) Airdale foundry near the rail line. Thus where would John Henry be born.
http://www.archives.wyjs.org.uk/documents/archives/Collections%20Guide%207.pdfhttp://www.lostrailwayswestyorkshire.co.uk/Birstall%20Goods.htm    see map
http://www.lostrailwayswestyorkshire.co.uk/index.htm           Explore this website (Interesting maps)
Put 'Dewsbury railways' in Google search
Kate b 1858 is back in Rotherham 1881 as either
Marriages Mar 1881   
AIZLEWOOD  Arthur    Rotherham  9c 625    
Wood  Kate     Rotherham  9c 625    
1881c
Arthur AIZLEWOOD   Head     22   Rotherham, York, England   Filer Of Palisades (W Smith)      
Kate AIZLEWOOD   Wife     25   Swinton, York, England   Telegraphist (C S)       Eliza AIZLEWOOD   Sister   UM   24   Rotherham, York, England   General Domestic Servant     
1 Alma Road Rotherham
or
George WOOD   Head     30   Rotherham, Lancashire, England   Iron Moulder     
 Mary A. WOOD   Wife    29   Heckmondwike, York, England        
 Edward E. WOOD   Son        7   Heckmondwike, York, England   Scholar     
 Annie L. WOOD   Daur        5   Heckmondwike, York, England   Scholar     
 Florence WOOD   Daur         2   Heckmondwike, York, England        
 Kate G. WOOD   Relative   U    24   Rotherham   Woollen Bl Weaver