I think I`ve traced William Thomas Phillips.
http://www.geograph.org.uk/photo/429908In 1911 W T Phillips and his wife Agnes Annie are living at the National Schoolhouse , Leeswood, Mold.
He is the schoolmaster employed by the County Council
William Thomas Phillips 52 b Newtown Montgomeryshire
Agnes Annie Phillips 51 b Abermule
Agnes Daisy Phillips 25 assistant schoolteacher b Machynlleth
Gladys Aline Phillips 24 assistant schoolteacher b Leeswood
Norah Mary Phillips 18 confectioners assistant b Leeswood
Hilda Maude Phillips 13 school b Leeswood
Nesta Martha Phillips 11 school b Leeswood
1901 National Schoolhouse. Leeswood.
William T Phillips 42
Agnes A Phillips 41
A Daisie Phillips 15
G Aline Phillips 14
W Ernest Phillips 13
Fred P Phillips 11
Nora M Phillips 8
Hilda M Phillips 3
Nesta M Phillips 1
1891 National Schoolhouse Leeswood.
As above but youngest child is Fred.
He married in 1884
Montgomeryshire Express and Radnor Times 31 August 1909
SILVER WEDDING
PHILLIPS-POWELL.-On Saturday, August 30th, 1884, at the Parish Church, Llanllwchaiarn, Newtown, by the Rev George Cuthbert, B.A. Vicar (who died suddenly the same day), Mr W. T. Phillips, head master of the Leeswood National Schools, Mold, to Agnes Annie,. youngest daughter of the late Mr John Powell, of Plasfelan, Llanllwchaiarn, Montgomeryshire.
1881 Newtown.
Mary Jones head. 76 laundress
William T Phillips unm lodger 23 schoolmaster b Newtown
Births Sep 1858
Phillips William T Newtown 11b 202
Phillips William Thomas Newtown 11b 302
No info found on William Thomas, there is a possible one with a widowed mother named Martha, in Newtown, but can`t be sure.
I suppose the marriage will gave fathers name.