Easement question

[Jeremiah O'Neill]

I am in the process of purchasing a single family home that appears to encroach on the neighbors property by about 2ft (2ft into the neighbors property and about 15ft long).  Both the lot being considered and the neighboring lot were purchased by the same couple in 1960.  The neighboring lot was vacant at the time, and the lot of interest had a home built in 1920.  In 1986, the mother and father gave the vacant lot to their daughter and her husband, and they built a home.  The mother and father have since passed away and then property of interest is now in a family trust, including the daughter that still lives next door.  They know of the issue, as the document they showed me is the survey from the mortgage company for their property.  It shows both a portion of the house and a portion of the sheds extending over the property line.  I am not too concerned with the shed, but of course the house needs to be resolved. What are the options here?  Will this be a long process?