Research on Patrick O'SHAUGHNESY

Hello
I am looking for information on Patrick O’SHAUGHNESSY, born around 1804 in the county of Limerick. He emigrated to the United States with wife and children between 1835 and 1839. He is the father of my paternal great-great-grandmother.
His wife was Mary BUSTIN or BUSKIN born before 1800.
Her Irish-born children would be Sarah (or Mary) born in 1828, Johanna born in 1830, Margaret, and James born in 1835.
Patrick probably had a sister named Johanna, godmother of one of the children.
Mary probably had a brother named Georges, godfather of one of the children.

I enclose the extract from a book dedicated to the pioneers of the city of Syracuse where we talk about him.

I thank in advance all those who can help me or give me advice

Daniel