Hello DonaldP,
Are these Thomas' parents ?
Giles
PERAM bn 1779 Ashcott
Catherine
BENNETT bn1783 Somerset
married 6/3/1804 Ashcott, Somerset
christeningThomas
PERAM 14/8/1808 Ashcott, Somerset
1841 census Somerset name transcribed
PENANE (alternate name
PERRAM)
Catherine 1781 Somerset
Giles 1786 Somerset
There are these death entries on FreeBMD
http://www.freebmd.org.uk/cgi/search.plGiles
PERRIANDec 1850 - Bridgwater, Somerset
Catharine
PERRAMMar 1857 - Bridgwater, Somerset
Don't know if this relates to your PERHAM family
possibly two of Thomas' children

Caroline
PERHAM age 16 (1829)
married
12/9/1845 Longford, Tasmania
Richard ADAMS age 22 (1823)
Giles
PERHAM Hannah
CRAIG daughter
Eliza Sara Elisabeth PERHAM bn 17/12/1862 Longford, Tasmania