I'm fairly certain this was taken at an event in Columbia County last month. Hillary Clinton was doing a tour of the state appearing with various Congressional Candidates. I think she appeared with Mike Arcuri in NY-24 the next day.
Columbia County is home to both Kirsten Gillibrand and Denise King. Hillary was speaking to a group of supporters and Kirsten did so also. They then enjoyed general chit-chat (working the outdoor room) and picnicing.
I don't think there is much more to read into this photo then three leading women appearing together at an event. I think the placement of them simply depicts where they happened to be standing at the time. I'm sure a snapshot or two later the configuration looked different.
I believe this photo was from a recent appearance by both Hillary Clinton and Kirsten Gillibrand in Columbia County.
As noted above, the woman in the middle is Denise King. She is a good friend and a truly wonderful and active democrat. Very smart and capable. I have to take major exception to your description of her. As noted, she is Chair of the Executive Committee of the New York State Democratic Party. She was also previously chair of the Columbia County Democratic Committee. She is very active in Kirsten's campaign. I met her first back in '03 when she was New York State Chair of Gov. Howard Dean's Presidential Campaign.
As for the article, there is nothing new here and they don't have their facts straight either. The DCCC has not given as much attention to these NY campaigns as I think they ought to have but they haven't been silent either. Nor have they refrained completely on the money and assistance front.
The various NY campaigns have always been a little lower down on the DCCC's list then several others. Most of them ranking in the 20's. They are on the radar, do receive assistance, but aren't as high up as I would like to them to be.