Hi Forgetfull
According to the 1901 census Arthur Summerfield was born in Markfield in approx 1866. In the 1881 census there was two Arthur's, one being in Castle Donington and the other in Huncote but the ages for both are out about 10 yrs, then I looked at Summerfield's in Markfield in 1881 and came up with these two familys.
Dwelling: Main St
Census Place: Markfield, Leicester, England
Source: FHL Film 1341748 PRO Ref RG11 Piece 3136 Folio 26 Page 11
Marr Age Sex Birthplace
James SUMMERFIELD M 51 M Kirkby Mallory, Leicester, England
Rel: Head
Occ: Blacksmith
Martha SUMMERFIELD M 46 F Markfield, Leicester, England
Rel: Wife
Occ: Fancy Shoe Knitter
Arthur WILLETT U 15 M Markfield, Leicester, England
Rel: Boarder
Occ: Stone Quarry Man
Ada A. SUMMERFIELD 6 F Markfield, Leicester, England
Rel: Daur
Occ: Scholar
Dwelling: Shaw Lane
Census Place: Markfield, Leicester, England
Source: FHL Film 1341748 PRO Ref RG11 Piece 3136 Folio 7 Page 5
Marr Age Sex Birthplace
William SUMMERFIELD M 26 M Markfield, Leicester, England
Rel: Head
Occ: Blacksmith at Works
Annie SUMMERFIELD M 27 F Markfield, Leicester, England
Rel: Wife
Hannah E. SUMMERFIELD 9 m F Markfield, Leicester, England
Rel: Daur
I looked on the 1861 census for Markfield and found James and family.
RG9/2266 folio 20 page 11
Main St, Markfield
James Summerfield head wid 32 blacksmith b. Kirby Muxloe
William son 6 b. Markfield
Elizabeth dau 4 b. Leicester
I think you may find that James married a Martha Willett and Arthur is a Willett too. Freebmd Mar 1874 James Summerfield and Martha Willett. Next door to James in 1861.
Sarah Willett Head wid 62 seamstress b. Markfield
Martha Willett dau unmar 26 fancy knitter b. Markfield
Just a thought
All the best
Linda