I'm thinking on the same lines as Sandra...and that said, this may be worth following up on:
Ada Filomena D PICCONI was registered born in
Holborn, 1903.
Her father was Ferdinando PICCONI.....
In 1923, Ada PICCONI, age 20, single, housek(eeper)b London, England, ethnic Italian, travelled from Genova, Italy to New York on the ship "Comte Rosso".Her residence is given as Belforte, North Italy. Her father is Ferdinand PICCONI of
Belforte di Borgotaro. She was going to her cousin Lucio PICCONI of 558 2nd Ave, NY and intending to stay permanently.
In 1929, Ada PICCONI STEFANI age 29, born London England, housewife, returned to New York from Genoa, after visiting her father Ferdinando PICCONI in Borgotaro, Parma. She was returning to her husband Carlo STEFANI of 348 st / 46th St NY.
http://www.myheritage.com/person-1000104_116277171_116277171/lucio-picconiLucio PICCONI b 1889, Paris France, d 1970, Queens, Long Island NY.
Can see him through Census etc in the US. But can't find parents for him. His father should be a brother of Ferdinando, if he (Lucio) is Ada's 1st cousin?
Ferdinando PICCONI married in Holborn Reg district - probably to Maria POLEDRI (Italian name?)
I see that after the death of her husband David JAMES, Mary Elizabeth JAMES (formerly known as PICCONI) nee FOSTER "married " again to Thomas HAWKINS, himself previously married with children, including a son named Walter born 1892. No marriage found I believe? But they had a number of children together including a William HAWKINS, born 1906. (I wonder, would she have named a subsequent child William, if she's already given that name to an earlier child who was still alive…..?). Could any of these HAWKINS children have gone to Canada and in the collective family thought, be lumped in with & labelled as "the italian side" - harking back to what was possibly Elizabeth's biggest & most memorable 'shocker' within the family - her liasion with Riccardo the Italian?
Riccardo's ethnicity is possibly the reason why he was taboo, along with the fact they never married or perhaps neither had a 'de-facto' marriage - just the 2 children. Was Thomas HAWKINS 'accepted' / mentioned in the family?
As for David JAMES being taboo - the circumstances of his 1902 death could well be the reason there. He was listed as a soldier (deceased) in 1902 on the birth of his daughter Lilian. Possibly he was in the 2nd Boer War, as Sandra suggests - and the reason why he was absent from the 1901 Census - though if he was, he was back in the UK before the end of that war? What was his civil occupation? I wonder if either of the portraits taken of him were done at the same time as the one of Mary Elizabeth (perhaps to precede his going off to war, a common reason for photographs). You're very lucky to have a photo of her btw, all things considered!). The seated photo of David JAMES in full uniform looks much more ranked than the one of him in the army pinny , but that may be just me!
Elsie PICONI, married 1914 to Thomas Arthur SUTTON. Can't see any issue to this couple with PIC* as mms. Might he have died in WW1? Divorce would be highly unlikely- even for the higher classes, it was an expensive, convoluted exercise, let alone for the lower working class. She was registered and baptized as Elsie and is Elsie on the birth registration - and I believe so
on 1911 you have, spelled as Elise. I wonder if she could have gone to Canada for a time at least, returning to England in the 30's - as she is the one most likely to be thought of as "the Italian side".
And for elimination, I don't know if you have already found it, but in 1891:
At 18 Malta Street, Clerkenwell
RG 12, P222, F30, pg 52
Are the Households of :
Alfred MUNDY & family
James FLOWERS & family
Thomas THORNE & family
Mary HOWLETT
Pauline PILKIN
Elsie Lucia PICCONI 1892, her abode at baptism was 18 Malta Street at Baptism . Was hoping some PICCONI's might have been there, but no luck!
Cheers
AMBLY