It's likely they'd have stalls selling things, including home made cakes and similar. They may invite local people who sell arty/crafty type things online or in small shops to pay to have a stall. These tend to be people who operate as very small businesses and they will sometimes do the rounds at different fetes and things. Whether or not they include small businesses or just local groups (like the girl guides, boy scouts, women's institute etc) depends on whoever's running it. Stalls may include things that are games, like a tombola or more kid-orientated games like guess the number of sweets in a jar or guess the name of a large cuddly toy (prizes donated). They tend to be around 50p a go. My rugby club did a spot the ball (picture of kids playing rugby, ball removed from picture (photoshop) grid over the picture, choose the co-ordinates of where the ball is) which is usually football (i.e. soccer) not rugby.
They are likely to have a raffle, with prizes donated by local people/businesses. They'll draw the tickets at the end, in a fairly informal fashion with one of the organisers announcing the winning tickets. They may pick random people to draw the tickets.
Something that's becoming more popular is a mini auction for things donated by local businesses, that tend to be events/services rather than physical goods (e.g. a meal at a local restaurant, a round of golf at a golf club, free trip to local spa, free haircut/style at local hairdressers, etc) - one of my kids' school runs this as a "bidding wall" with all the different things written on paper pinned to the wall, and the people running it write the highest bid on the paper (laminated so they can write on/wipe off). There's a time limit, and at that time, the highest bid is the one that wins and people come and buy the things they bid for.
A different kind of event is a jumble sale. This is where everyone donates stuff from their home that they don't want, the organisers sort it into different categories (children's clothes, women's clothes, men's clothes, toys, kitchen items, electrical, brick-a-brack (i.e. everything that can't be categorised)) and people buy stuff that they want. Stuff is sold really cheap, like 5p-£1 for most things, though any items that do have a value will get sold at higher prices. If they expect to get lots of higher value items they may charge extra to get in early, e.g. £2 entry from 1-2pm then 20p entry from 2-4pm. There will usually also be a stall selling tea, coffee and home made cakes, and the occasional tombola, raffle, etc, i.e. stuff you'd get at a normal fete but the emphasis is on selling everyone's junk.
Note that I'm remembering this from the 1980s and there are strict rules now on selling second hand electrical items (they have to have a safety certificate) so a modern jumble sale may not be selling anything electrical. Also note that the prices above are 80s prices, but you'd still get things being sold for just a few pence at jumble sale. Might be £5 for early entry if there are things of value to be bought, and 50p entry thereafter.
BTW some fetes will have a low entry fee (usually around a quid or so, kids may be free) as part of the fundraising. Even if there's no entry fee you'll likely be invited to buy raffle tickets on entry.
The school hall is another potential location for such an event. School and church halls would usually have a kitchen which has direct access to the hall (usually through a large hatch) so they can sell tea, coffee, cakes (generally home made) and the like during the event. Because you can't deprive Brits of tea. You just can't.
I've lived in a lot of places but have never lived anywhere that has a village hall. Not saying they don't exist in some villages. (And to be fair, most places I've lived have been towns or cities.) In my experience, the church hall serves that purpose and is commonly rented out to all kinds of groups who want to use it, most of whom have no particular connection to Christianity. Things like the scouts, guides, slimming clubs, women's institute, people who want to have their kids' birthday party in a hall rather than at home, etc. They're regularly rented out for the kinds of events you're talking about.
Also consider what they're fundraising for. It is commonly for a local issue, e.g. repairing the church roof or a new minibus for the school (those are so common they're becoming a cliche). It doesn't have to be for a local issue though, could be a charity event for any charity, or they could be collecting food, clothes etc for food banks and homeless families. (Probably not anyone in the village - homelessness tends to be more of a town/city problem.) People bring along food and other goods to be donated and the food bank will print lists of what they want (cupboard foods and other items families need like toothpaste, nappies (diapers), hats and scarves for children, etc).