The father of James E Lucey (1848-1934) disappears between 1857 and 1860. In most records, he’s listed as James Lucey (marriage record and childrens birth records in Ireland), in 1857 he’s listed as JPL on the baptismal record of son David (Andover, MA) and he is missing from the 1860 census entirely.

1860
In 1861, his wife Mary marries John Hogan in Lawrence, MA.
There is an 7 Jun 1856 death record from Boston MA for a laborer named Patrick Lucey that is about the correct age, cause of death “burned”, no parents or additional info listed. Not likely him, since son David was born 14 Aug 1857.
I’ve ruled out other James and/or Patrick Lucey/Lucy’s in the Mass death records for this time frame. I could not find a mention of his death in the Andover newspaper but I did find a death notice for son John who died in 1860 at age 17, so it is something that could have been published.
Son John is buried in St. Augustine’s Cemetery in Andover, MA. Unfortunately there are no other headstones on the plot and the cemetery has no record of who is buried there. Maybe he didn’t die, but just left?