Twitter responded in a big way, with many saying the story brought them to tears.
So many people weighed in about the gifts, in fact, that Williams made a Twitter poll. So far, more than 55,000 people have voted on how he should distribute the gifts.
Williams, who is a social media consultant, said the majority of people are voting for giving Cadi one present a year. He said he has no idea what is in the packages, but he's leaning towards listening to the will of the voters.
"I think we're going to turn it into a Christmas story for our daughter," he said. "We'll do one a year for the next 14 years. It feels like the right thing to do now. If she opens a box of Lego when she's 16 then so be it."
He said he was struck by how many people have responded by saying their neighbours are virtual strangers to them.
"The thing that stands out to me is how few people know their neighbours," Williams said.
"People are saying, 'That's so lovely. I don't even know my neighbours.' . . . This Christmas, take your neighbours a bottle of wine or a small gift, a token. Just say, 'Hi.' You can open a new world like we did."
