SQL Server 2008 :: Query To Select Every 2 Rows Based On A Date?

I have a table like the following (with much more data, but the concept is the same) with Dates and Actions for People and a column called Action with beginning Dates and end dates.

(I attached a picture because I could not figure out how to Format it)

begin Date end Date Name

begin 2014-10-15 end 2014-10-31 phil
begin 2014-09-18 end 2014-09-30 phil
begin 2014-08-21 end 2014-08-23 John

I need the query to be like this. The idea is to have the query grab the next 'END' not all Ends, which my attempts have done i.e. I get not just the closest end to the begin date, but ALL Ends with the same Person.

I Need it to look like this:

begin Date end Date Name

begin 2014-10-15 end 2014-10-31 phil
begin 2014-09-18 end 2014-09-30 phil
begin 2014-08-21 end 2014-08-23 John

There can be different People so the query Needs to return the beginning and end rows for the Person in sequential order.I can't figure out how to select only the 'next' end. My query always gets 'end' values that have a 'begin'. I