Hi Serena,
I was going to make a few encouraging suggestions because I have access to a number of Hungarian records, but your early time slot is a major problem.
Hungarian State records for all Births, marriages and deaths only started in 1895, but by then your Stampfer ancestor had already been in the UK for 20 years. There are some 30 Stampfer marriage records post that date, 8 burials and 7 name changes circa 1900. The latter were usually Jews who hoped a name change would help the blend in rather than stand out, although Jewish persecution in the 1870s when your ancestor left was fairly low key.
The Budapest State archives have 33 Stampfer documents deposited, and although there are some early references, the oldest document they have concerns an Adolph Stampfer dated 1892. They also have numerous entries for Zsigmond Stampfer, but all too late for him to be yours.
There are two unrelated Stampfer entries on the Hungarian database of Death notices, although a database of Jewish cemetery records does include a Mor (=Moritz) from Cegléd who was too young to be a father of your Zsigmond but could have been a brother.
1.Kaiser Bernátné Stampfer Sarolta 1867 1944 Kozma utca - Budapest 33B 2 28
2.Stampfer Edéné Neumann Karolin 1876 1926 Kozma utca - Budapest 40 15 57
3.Stampfer Mór 1858 1926 Cegléd 1 2 137
4.Stampfer Mór 1922 1923 Kozma utca - Budapest 41 11 13
5.Weisz Simonné Stampfer Netty 1859 1924 Kozma utca - Budapest 40 40 52
The Viennese cemetery database (these often had ancestral ties to Budapest) has 7 Stampfers, but no obvious ties to the names you have given. Do you know anything about Zsigmond's siblings?
Your best bet would seem to initially be with the JEWISH GEN website, and looking for an entry for Zsigmond son of Mor Stampfer on the Hungarian census of 1868.
Yours Roy G, from Budapest
Post script: I assume you know of the following in the UK archives?
WW1 Medal card of Stampfer, Sigismond H. Corps: Middlesex Regiment. Regiment No: G/97557. Rank: Private.
Also in the archives is a note from 1920 that Zsigmond's wife, Mary Amelia Adelaide Good FROM HUNGARY, became a naturalised British subject, but we were giver to understand from the 1881 census and later censuses, that she already was British?
RG.
