After her husband died, Freda Schaeffer was left on her own in a three-bedroom house in Brooklyn. “I was lonely,” she confessed. And she worried about finances, because “there’s a lot of expenses in a house.”

Tom Logan, who had moved east from California, found that his disability payments from the Department of Veterans Affairs didn’t stretch very far in New York City. “I needed a place to stay, or I could be homeless,” he said.

Enter the matchmaker, a home-sharing program operated by the New York Foundation for Senior Citizens. It pairs people who have extra living space — but who want company, help with chores, extra income or all three, with those desperate for affordable housing.

Over nine years, the program has found several carefully screened guests, as they’re called, for the spare bedroom on Schaeffer’s second floor. Logan, who moved in a year ago, has become one of her favorites.

Together, they watch the evening news and “Columbo” reruns in her living room, said Schaeffer, 89. “We discuss what’s going on in the world. And he loves animals.” Indeed, Logan, 63, is studying to become a veterinary assistant and helps feed the feral cat they’ve named Cali, for calico.

“Freda and I are family now,” Logan said. “We need each other.”

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As a graying population confronts the limited options for senior housing, various grassroots alternatives are gaining footholds.

Shared housing, cohousing and village organizations appeal to those hoping to avoid the high costs and institutional nature of assisted-living and nursing homes, or at least stave them off for as long as possible.

Though these approaches date back years, “We are seeing a resurgence of people wanting different models of housing,” said Kirby Dunn, executive director of HomeShare Vermont.

Following is a primer:

Shared housing matches people who have unused space with people who need housing; typically, at least one party is age 60 or older. Sometimes the arrangement involves simply rent and companionship, but sharers can also agree on lower rent in exchange for grocery shopping, dog walking, driving or other services.

About 100 such programs once operated around the country, Dunn said, but they proved difficult to sustain. A few years ago, the number had sunk to about 35; now it has rebounded to 50, with established groups like Dunn’s getting inquiries from people hoping to start new ones.

Though home-share agencies run an array of background checks and work to ensure compatibility, the prospect of a stranger moving in can still provoke uneasiness.

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Unsurprisingly, home-share programs attract many more would-be tenants than householders willing to open their homes. HomeShare Vermont has just 60 matches going at a given time. Tenants on the site paid an average of $300 a month last year (one-bedroom apartments in Burlington typically go for $1,500), and surveys showed that more than 80% of participants reported feeling happier, safer and less alone.

Cohousing functions differently: A like-minded community forms, then looks into acquiring land and building a housing complex (or occasionally, converting a building) where members can live together.

Residents share a smallish house for communal meals, classes and meetings, plus gardens and outdoor walkways designed to encourage socializing.

“The joke is, in cohousing you go check your mail and you’re gone for half an hour,” said Karin Hoskin, executive director of the Cohousing Association of the United States.

Most of the 170 self-governed cohousing communities that already exist (another 140 or so are in varying stages of formation) are multigenerational.

But 15 have organized to serve older residents specifically, including communities in Washington, Virginia, Colorado, California, Oklahoma and West Virginia.

Alan O’Hashi, 66, a documentary filmmaker, and his partner moved into the architect-designed Silver Sage Village cohousing community in Boulder, Colorado, in 2008.

Though he enjoyed living in the 16-unit development, which like most cohousing communities operates legally as a condominium, O’Hashi didn’t become a true believer until 2013, when pneumonia sent him to a hospital and then a rehabilitation facility. He came home in a wheelchair.

“All of a sudden, people were bringing over food and calling to check on me,” he recalled. “It’s the secret sauce of cohousing, this notion of community, of shared values.”

The village movement, the newest and most vibrant innovation, comprises 280 organizations in towns, cities, neighborhoods and even apartment complexes, and is growing by 20% a year, said Barbara Hughes Sullivan, national director of the Village to Village Network.

Members must pay annual dues, $250 to $450 on average, and villages hire a coordinator to oversee services. Topping the list is transportation, via volunteer drivers, taxis or ride-hailing services.

Villages also arrange social gatherings and cultural outings. They vet handyman services and home health agencies, sometimes negotiating for discounts.

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Judy Rosen, 94, lives in the 10-year-old village Mount Vernon at Home, which has 180 members in Alexandria, Virginia. She has always enjoyed its lunches, lectures and museum trips.

But she recently stopped driving, so she now also relies on its volunteers for rides to the supermarket and doctors’ offices. “You know that if you need something, you have a place to turn,” she said.

None of these new approaches can solve the crisis in affordable supportive housing for older adults.

Still, if more groups try out these programs, and if government and nonprofits provide support, older adults could remain in their communities longer, with stronger social connections.

Maybe, proponents say, a building or neighborhood that’s already home to many older residents could become a reverse-engineered cohousing community. Maybe Medicare Advantage plans that offer gym memberships could also cover village dues.

In villages, “you’re still able to be active and part of the community,” said Sullivan of Village to Village Network. “And you have a sense of a caring group of people beyond your family. It’s very cool.”