The only place in the UK named Litchfield is in Hampshire. There is no evidence for the surname Litchfield being linked
with it. This is what The
English Place-Name Society, (School of English Studies, University
of Nottingham) has to say about the name...
"The earliest spellings (Livesulve,
Lidesull) of this name indicate that the second part was Old English
scylf, 'a terrace, shelving land'. The earliest spelling which
gives the 'field' spelling is 1539. It is unclear what the first element
is: maybe a personal name Leof, maybe OE hlywe 'shelter',
but it is impossible to be sure. What seems clear is that the whole
was influenced by the Staffordshire Lichfield (which is from completely
different elements, British leto-cetum 'grey wood')."