I suggest you email Taunton Record office on
http://www.somerset.gov.uk/archives/ they should hold copies of the actual inquest,which will be sealed for 75 years. While the newspapers should have the report they will by no means be the full inquest. More likely what bits the court reporter felt like picking out.
As your death occured in 1888,there will be no problem viewing them,providing they are there of course
The record office will be able to have them ready in advance of your visit too.
And possibly even look them up and email or post them to you for a small fee.
Hope this helps,it's a combination of personal experience of Taunton record office and an inquest I needed in London,in which a suicide happened in April 1929.The inquest is closed until 2nd Jan 2005.
All the best
Carol