If approved by JP, constable will serve the Eviction Notice, and  if they still don't move out, JP will order a forcible eviction in which constable will show up at house, and "keep the peace" while you and your workers remove the people belongings to the curb.

Don't mind losing some cashflow in exchange peace of mind or whatever.

Or I just peaceful to wait until the next Month, then call police and report she is a trespasser?  

Back in the 1990s, Long-Term Capital Management was a hedge fund founded by PHDs, some of whom were Nobel Laureates.

I purchased a 2 family 3 years ago, the one side the tenant had been there for 30 years, i was not going to displace them from their home, which they were worried about. they were paying $800 / m which is below what i could get for the property, but they loved living there, they take care of the property and look after it. after talking with them I did raise their rent right away to $1000 and they understood, but have not raised it since then. there is some value in having some tenants there that love to live there and look after the place, even though i have a PM that manages the property, it is worth that peace of mind to me, especially since the property is 3 hrs away from me.

I offered him $1000 cash for keys to move out peacefully and he agreed. 

Peace

Economist Richard Thaler was awarded the Nobel Prize last year for articulating what my kindergarten teacher knew instinctively -- to encourage people to behave in a certain way, you add gold stars after their name to reward their good behavior.

There are certainly many advantages for investing in your own backyard in terms of existing relationships, understanding the market and extra peace of mind especially when just starting out. 

More expensive but long term more peace of mind.