I love Amroth too
On 1901 census, there is a Hancock family at Summerhill.
Thomas Hancock Head age 64 Farmer born Amroth
Mary Ann Hancock Wife age 61 born Tenby
Margaret M Hancock Dau age 19 born Amroth
Sarah Johns Sister-in-law age 61 Living on own means born Tenby
Emily Susan Parsell? Cousin age 42 Living on own means born Watchett, Somerset
RG13 Piece 5118 Folio 104 Page 12
and there's a marriage of Thomas Hancock and Mary Anne Johns in 1879
Pembroke volume 11a page 934
Can see a death of Thomas Hancock age 67 in 1904 (Sep quarter) in freebmd, so worth doing an address search for the farm in 1911, as suggested by Andrea.