First thing to check on is the roof. At that age, with elderly previous owners, it's almost certain the whole damn thing needs replacing. How long has it been since it was last replaced? Asbestos roofing materials were used from the 1920s all the way up to about 1980. How much to replace the roof? There could also be mold in the attic or crawlspace. This could end up a surprise major gut job.
Vinyl in the kitchen looks like 1970s which means it probably has asbestos in it, VERY likely. This means you cannot pull it up, but you can tile or vinyl over it. A few layers of that and your kitchen floor is higher than other floors. Don't try to rip it out , just go over it. You need someone that is an expert is asbestos abatement look over the entire house. Find out if there were additions built onto the house at any time. From the 1800s-1980 there were a lot of asbestos building materials used including insulation. Do not buy until you know. Yes it can all be pulled out, but it's very expensive and has to be done by a certified specialist.
Wood floors look new. If they are new, it's likely roof leaks ruined the old floors, or possibly pets peeing. Are they wood or some type of cheap laminate? Find out.
Before you do anything: 1. roof; 2. plumbing which almost certainly is shot in at least part of the house. Look for leaks inside kitchen cabinets, look at the baseboard behind the toilet. If it's stained, or the vinyl has separated behind the toilet, there's been leaks. Look at the wall and floor around the back of the toilet. Bring a flashlight. Also, what are the pipes made out of? Copper? Lead? Find out.
Windows - they are probably old and leaky, this brings up your electric bill considerably. Look at the wood around the windowsill. Is it rotten or spongy? Push down. You're looking for evidence of leaks. Look for evidence of a lot of spiderwebs around windowsills, cold be spiders attracted to moisture from leaking windows. More opportunity for mold. If you open it up, you have to clean it out. Is the insulation asbestos? Then it's a really big deal to open it up.
Assuming it isn't, I'd look into having the windows replaced. Otherwise it's going to be drafty as hell in there all winter.
Paint - under all those layers of paint is lead paint. It's up to you.
Having just done a remodel on a pretty new house that had tons of expensive "surprises" in it, my suggestion is that if your funds are limited, don't take on something like this. Maybe if you have a contractor you trust go over it before you by. Especially an asbestos abatement guy, but also check out those pipes. If you have to have the whole house replumbed, you can't afford it. If there's asbestos insulation in the walls, and you have to rip the walls up to put in new plumbing, now you've got two huge bills you didn't know were coming.