Well, we know that net migration flows to Mexico (and possibly all of central america?) are positive. They turned from inflows to outflows during the recession. Perhaps this is where someone came up with "Obama sending illegals home".
Of course, I'm more than open to being wrong; certain classes of illegal immigrants have been given defacto amnesty, and Obama's spoken in their favor, but no doubt others continue to be persecuted.
https://www.thenation.com/article/the-deportation-machine-ob...