No luck finding James prior to 1871, Sue. I tried searching by forename and place of birth without a surname, and cross-checked a number of possible candidates, but I was able to locate them elsewhere.
Births Mar 1861
ANMORE James Henry Maidstone 2a 458
Births Jun 1863
HANMORE Hannah Malling 2a 407
Births Jun 1865
ENMORE George Malling 2A 442
Births Dec 1868
HANMORE Elizabeth Jane Malling 2a 514
Deaths Dec 1867
Hanmore William 0 Malling 2a 268
I hope these are of some use, at least. I assume James Henry is the son James from the 1871 census, as the age and location look about right. No mother's maiden name, however. The others are all Higgs, I think.
I'll have another look for you tomorrow.