Looking at this newspaper cutting - the surname could be BAYLESS - there is

1861 census
East Dean

Thomas BAILLIES - age 26, Iron Miner (Thomas BAYLISS m Mary Elizabeth GRIFFITHS - June Qtr 1855 Westbury S)
Mary E - 24
Harriet - 3
Mary Ann - 1

Abbenhall baptisms:

Mary Anne BAYLIS - 4 March 1860 - Thomas (Labourer) and Mary
Ann BAYLIS - 28 March 1858 - Thomas (Mason) and Mary (is this Thomas c1836 father Thomas?)