Hi Dan, I'm not related, but I was looking up the 1911 British census for someone else, so looked up the one for your Thomas G Pendlebury as well.

This is the Household transcription from Findmypast.co.uk:

Name, Relation, Condition/Yrs married, S ex, Age, BirthYear, Occupation, Where Born
PENDLEBURY, Priscilla A, Wife, Married 12 years, F, 35, 1876, Private Means b.Isle of Man Douglas [in the scan of the original record she writes that she has had 4 children, all living, and she signs the census form]
PENDLEBURY, Thomas G, Son, M, 11, 1900, School, Isle of Man Douglas
PENDLEBURY, Priscilla A, Daughter, F, 10, 1901, School, Isle of Man Douglas
PENDLEBURY, Ellen L, Daughter, F, 7, 1904, Isle of Man Douglas
PENDLEBURY, Wilfred J, Son, M, 6, 1905, Isle of Man Douglas.

RG number:RG14 Piece:34667 Reference:RG14PN34667 RD635 SD3 ED18/14 SN81
Registration District:Isle of Man, Parish:Conchan

Address:
19 Hatfield Grove Douglas I O M County:Isle of Man

Sue