Sorry to have taken so long - I didn't scroll down here for a while...
There are some Stratioti's in the 1930 Census, but not the ones we're looking for.
1930 United States Federal Census has 8 match(es) for:
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Name,Age in 1930,Estimated Birth Year,Birthplace, Relation to Head, Race, Home in 1930 (City,County,State)
Antonio Stratioti 47 1882 Italy Head White Duluth, St Louis, MN
Mary Stratioti 35 1894 Wife Duluth, St Louis, MN
Catherine Stratioti 15 1914 Daughter Duluth, St Louis, MN
Angelo Stratioti 10 1919 Son Duluth, St Louis, MN
Carmello Stratioti 9 1920 Daughter Duluth, St Louis, MN
Rose Stratioti 7 1922 Daughter Duluth, St Louis, MN
Frances Stratioti 6 1923 Daughter Duluth, St Louis, MN
Leonora Stratioti 0 1929 Daughter Duluth, St Louis, MN
Can you give me their birth years and places and I'll try soundex.
Barbara