In Milford Vital Records to 1850, they just have Euralia Gallerani's birth listed based on her gravestone, but I just wanted to share that she is mentioned there (no image - just a transcription): Eurelia GALLERANI, Eurelia [__], w. of Joseph, __, 1849. G.R.2.
I found the birth of their son, Giuseppe Gallerani in Boston, 25 February 1896. His parents were listed as Giuseppe (a liquor dealer) and Aurelia, living at 88 Merrimac, and both parents' birthplaces listed as Italy. The rest of their children were probably born in that general area (Boston and down in Middlesex County).
In the 1920 Census, I found the family in Holliston, Middlesex County, MA, with Armelia Gallerani, widowed, and born about 1871: familysearch.org/pal:/...1/MXBT-2JJ
I take it you haven't obtained death records on Euralia or Guiseppe from Massachusetts? MA records tend to be pretty thorough and include parents' names, but you're right that spelling can be tricky (heck, the town clerks even make mistakes on simple "all American" names).
I found a Joseph Galernoni who died in Holliston (MA Vital Records, volume 49, page 145) on 11 November 1912 at the age of 53 (born about 1859 in Italy) of a broken neck due to an accident with a running horse (runaway horse? An accident like this could be in a local newspaper - try contacting the Milford Public Library reference librarian to ask about newspapers there - you can usually get articles and obits fairly inexpensively). This will help confirm whether or not this death record for Joseph Galernoni is actually your Joseph Gallerani.
He was buried in St. Mary's Cemetery in Milford, MA on 14 November 1912.
His parents are listed as Leonardo Galernoni and Caterina Gili. The image of the death record is here:
Since Euralia died after 1920, there wouldn't be any online death records for her - online Massachusetts records currently go up to 1915.
As for children of Giuseppe Bodio and Generosa Tedeschi (I grew up in Bridgewater, MA, where there's a Tedeschi's market on the corner), I found none. Do you have an idea of when their children were born? There are several Bodios in Milford, perhaps nieces, nephews or grandchildren.
Hope this little bit helps!