Are you also saying that there is another Louis and Fanny on that border crossing list?
Looking at the form it looks as if the above Louis Hart born 1881 Poland occ is a Trav. Salesman
(Travel Salesman)
His dob matches that of the Louis Hart below but his a occ. wood carver
Louis Hart born 1881 Poland Hebrew (Res) Russian
occ wood carver his wife is also born Poland named Fanny born c1882 they are living in London
They are on 1930 /1940 US Census living in Bronx NY
Louis Hart born Poland occ Wood Carver / Carpenter
Fannie Hart born Poland
There’s a possible marriage for this couple Mile End 1903
Lewis Hart name on same page
Fanny Spielberg
And why is it you're wondering whether Louis's first name is Henry
The only reason I was wondering about whether his first name might be Henry was because of
Louis & Fanny naming there son Harry
And up to this point I couldn't find a likely marriage entry, (was looking between 1883 and 1885) but that 1889 one that you have unearthed looks a real possibility.
Though if that is the case, then both Charles and Harry were already in the world before then and might possibly have been Fanny's children from a previous marriage or relationship.
The marriage certificate would confirm if Fanny was widowed
If the birth entries from Gloucestershire BMD are correct for their daughters Kathleen Daisy & Violet Louisa then their mother Fanny's maiden name is WOOD
also forgot about their daughter Lily
1892 Stroud Lilian Gertrude mmn WOOD
A birth certificate for one of their children would confirm Fanny's maiden name
from the censuses the boys were born in Nottingham & the girls in Stroud Gloucestershire
Stroud birth entries (FreeBMD)Jun 1892 Lilian Gertrude Hart vol 6a page 328
Jun 1894 Kathleen Daisy Hart vol 6a page 300
Mar 1897 Violet Louisa Hart vil 6a page 320
Not sure about the boys birth entries in
Nottingham Charles & Harry/Henry don't have a middle initial 1901/11 this
might be Harry's marriage entry
Sep 1908 Bristol vol 6a page 376
Harry Lewis Hart name on same page
Edith Maud Stokes
no maiden name for son Harry L (Leonard) born Bristol Jun 1911
mmn didn't start until Sep 1911 but there are these two entries
1914 Bristol Dennis G Hart
mmn Stokes & 1915 Bristol Eileen M Hart
mmn Stokes