3 possible birth regs for James;
ALEXANDER, JAMES mmn MUSKER
GRO Reference: 1854 M Quarter in LIVERPOOL Volume 08B Page 50
ALEXANDER, JAMES mmn ASKEW
GRO Reference: 1856 M Quarter in LIVERPOOL Volume 08B Page 213
ALEXANDER, JAMES SCHILDFATT mmn SCHILDFATT
GRO Reference: 1855 J Quarter in LIVERPOOL Volume 08B Page 214
So 1861 Census we have 2 James born c 1854 and 1856;
William Alexander 47 Head born Ireland
Ann Alexander 42 Wife born Liverpool
James Alexander 7 Son born Liverpool****
William married Ann MUSKET 16 Sep 1839 St Chad, Rochdale
James Alexander 38 Head born Scotland
Jane Alexander 38 Wife
Ellen Alexander 17 Daughter
John Alexander 15 Son
Margaret Alexander 10 Daughter
James Alexander 5 Son***
Jane Alexander 6/12 Daughter
This as you know is Jane nee Askew