Hi bianca,
My research points to it being
a name of norman-french origin
probably meaning 'Son of Geoffrey'
my surname is a slight variant,
most likely caused by a mispelling!
my email address is
stuartjebbitt@music.com
If you want me to email you my research
files (microsoft excel)
I can do that, which will lists most
jebbett/jebbitt births in the uk
during the 19th century
just send me your email address and I
will send it as an attachment