Actually there are Palestinians in Jordan and Lebanon. I read up on it more when I came across this WP article (worth the read on the individual refugees) on the current refugees.
Story about a Syrian refugee in Lebanon
http://www.washingtonpost.com/sf/syrian-refugees/2013/12/02/downwardly-mobile/
A brother-in-law had found a day-labor job at a car dealership owned by a wealthy Palestinian man who had himself lived as a refugee. The Palestinian man told them about the vacant lot he owned.
He backed the old fish trailer onto the lot, and he gave the family a small Ford van so they could get around. He asked for no money in return.
“He’s been a refugee himself, so he knows what it is like,” Habib says.
https://en.wikipedia.org/wiki/Palestinian_refugee_camps
Palestinian refugee camps:
Syria has 13 refugee camps and 499,189 registered refugees.
There are 12 refugee camps in Lebanon and 448,599 registered refugees.
There are 10 refugee camps in Jordan and 2,034,641 registered refugees.
https://www.hrw.org/news/2014/08/07/jordan-palestinians-escaping-syria-turned-away
The 44-page report, “Not Welcome: Jordan’s Treatment of Palestinians Escaping Syria,” is based on interviews with more than 30 people affected by the non-admission policy. Human Rights Watch also documented Jordan’s withdrawal of Jordanian citizenship from some Palestinians who had lived in Syria for many years and who have been detained or deported to Syria without identity documents. Jordan’s uncompromising treatment of Palestinians fleeing Syria contrasts with its treatment of Syrian nationals, at least 607,000 of whom have been accepted into the country since the beginning of the Syrian conflict. Before the March 2011 uprising began, Syria was home to at least 520,000 Palestinian refugees.