"We would have frozen to death," without the aid, said the tall, 40-year-old wife of a day laborer who also lives at the camp as she held her runny-nosed four-year-old daughter, Rawan.
Like tens of thousands of impoverished refugees living in tents, shacks and unfinished buildings throughout Lebanon, the family faces a miserable winter as aid organizations scramble to meet their needs, constantly overwhelmed by ever-more people fleeing the Syrian conflict, now entering its third year.
Some one-third of Syria's pre-war population of 23 million has been displaced, with 2.3 million now refugees, mostly in neighboring countries.
"This is the biggest winterization effort that the U.N. and partners have ever done in the world," said Roberta Russo of the U.N.'s refugee agency. "But still, the scale of the crisis and the number of people coming is so much," she said.
Some 1.4 million Syrians live in Lebanon, including 842,500 officially registered with U.N., charities who are rushing to distribute aid to the most vulnerable — around half a million people.
This past week, they handed out blankets, mattresses, kerosene heaters, winter clothes, plastic tarps and fuel coupons, hoping to stave off the worst of a battering storm called Alexa that hit Lebanon, the Palestinian Territories, Turkey, Israel and even the deserts of Egypt with rare snow and rain.
Syrian refugees said the Lebanese army joined the efforts, handing out blankets and mattresses from the back of jeeps. Some kindly neighbors let refugees siphon off electricity and gave them used TV sets and heaters to help pass the time.
On Sunday, the U.N.'s World Food Program said it began airlifting aid into northeastern Syria, trying to reach displaced families with deliveries that had been delayed by the winter storm. The WFP said it hoped to send in enough food for 30,000 people for a month.
In Turkey, foreign ministry official Yunus Bayrak said workers had insulated tents and delivered winter clothing to refugees. But he said conditions in camps just across the border in Syria were likely to be worse.
Charity officials in Lebanon said they planned to distribute more aid, particularly to the 120,000 Syrian refugees living in 430 makeshift encampments scattered throughout the eastern Lebanese mountainous plain of the Bekaa.
Freezing air crept through holes in Mohammad's burlap tent, outside which lay fuel for her Lebanese-donated stove: a tattered shoe, twigs, old clothes and plastic bags.
"It's for the fire," she said, acknowledging that the toxic smoke was making her children sick. But she had little choice, particularly when she needed to put them to bed. "I don't know if the children sleep from dizziness or hunger," she said from under a purple headscarf.
Some refugees said municipal officials have seized part of their aid. There was no way of proving the claims, but few appeared to have kerosene, which aid organizations distributed to registered refugees this week in exchangeable coupons.
Nearby, Mariam al-Hamad, 52, burnt an old shoe in her newly donated portable heater as her husband, an amputee, sat nearby. "We ask for heating, that's all," she sighed.
The cold has frozen the site's water source, and the men said they were melting snow for drinking water.
Nearby, a boy ran with a plastic bag peeking from the top of his shoes — a cheap waterproofing tool. Other children appeared to have missed out on the winter clothes donations and wore only thin pants and layers of shirts.