Hi SM
I have found your Great Grandfather Michael Wilson in the Boston Passenger lists but had to do some work first. So looked for him and Alice in the 1881 census and then found Alice with her Marsden family in 1891 census.
From the 1891 census, I saw that the youngest child Alice was shown as 2 years old, so born about 1889. Which meant that I could look from 1888, also on the 1881 census, Michael's occupation is shown as "Paper Maker".
There isn't a great deal of information on the manifest but at least now you know when he arrived in the US
Bavarian [SS] departed Liverpool, arrived Boston, Massachusetts 3rd May 1889
Travelling, Steerage Forward Compartment
Michael Wilson, age 28,
Calling, Papermaker
Native country, Ireland
Destination, Boston
just a dash in "pieces of luggage"
Whether Visitors only or permanent settlers?, (I believe it says Transient but I cannot be sure)
Now there isn't a 1890 census (only bits left after a fire) so I will do my best to find him in the 1900 census.
You will also notice that Michael was born about 1861 on the manifest but the age being out by a few years is by no means unusual for all sorts of reasons.
Will let you know when I have found anything
Agnes