Hi Trevor,
I think I may have found them on the 1901 Census. They are transcribed as Brotham although when you look at the image you can see it may be Broxham. The only problem is that he is given as being born in Lincolnshire so it may not be the correct family.
1901 Census at Tilworth Grange, Sutton Without, Hull
William Brotham, marr, aged 35 & a coachman, born Langworth,Lincs
Ellen Brotham, marr, aged 34 born Seamer, Yorks
Frederick W Newbown, 9 months, nephew, born Barton on Humber, Lincs
Gill
P.S. Sorry, I don't think it is the correct family but strange how both Ellen's born in Seamer