german birth certificate

[jorose]

I would guess in that case that "1876" is closer to her right birthdate and "1886" is her adjusting for Henry being younger than her (perhaps she looked young for her age and could get away with it!).

Do you know what happened to Adolph after his second marriage? Name of Josephine's stepmother, where there any step-siblings?

You might find this interesting:
Marie Nathalie Gronland came into Ellis Island in 1905 - aged 30, a teacher, last resident Paris, sister in New York - Josephine Gronland.

ETA: http://chroniclingamerica.loc.gov/#tab=tab_advanced_search has a hit for "Josephine Trust" in 1920 which mentions her living in Park Ridge with husband Henry Trust, as well as "her sister".

[carinthiangirl]

maybe she was born Alsace-Lorraine which had border-changings.
was german at time of her birth and when she emigrated and after 1918 was again french.
"Under the German Empire of 1871-1918, the territory constituted the Reichsland or Imperial Province of Elsass-Lothringen. The area was administered directly by the imperial government in Berlin and was granted some measure of autonomy in 1911. This included its constitution and state assembly, its own flag, and the Elsässisches Fahnenlied as its anthem."
at WW2 agian german:
"After France was defeated in the spring of 1940, Alsace and Moselle were not officially annexed by Germany, Adolf Hitler annexed them in 1940 through a law which he kept secret. Through a series of laws which, individually, seemed minor, Berlin actually took the full control over Alsace-Moselle and could forcibly integrate Mosellan and Alsatian people into its army. Those territories were administered from Berlin until German defeat in 1945, when they were returned to France. During the occupation, Moselle was integrated into a Reichsgau named Westmark and Alsace was amalgamated with Baden. From 1942, people from Alsace and Moselle were made German citizens by the German government but, legally speaking, such de facto annexion was not accepted by international laws."
http://en.wikipedia.org/wiki/Alsace-Lorraine

as her father also stated being french and has french lastname.
Geburtsort des Vaters/birthplace of father: France
Geburtsort der Mutter/ birthplace of mother: Poland
at time of this census 1930 it was french so that time would be stated then correct for the area also.
https://familysearch.org/pal:/MM9.1.1/XC8Q-VML