I have not welded in fifty years, and then only in high school auto shop. I find myself needing a light duty (110VAC preferably) electric welder for small jobs around our little farm. The other side of the coin is it MUST be cheap. We are retired and living on a small pension. Some extra each month but not a lot.
I have looked at Harbor freight, Northern, and the local Lowes, Home Depot etc. I'm sure there is some type of discussion about this already, but after looking at four of the bazillion pages gave up
What's your application? If you are limited to 110v input, you are limited to welding in the range of lawnmower deck etc up to bedframe angle iron. Maybe heavier after you have experience. Repairing tractor implements etc will generally require a 220v welder.
You mentioned extremely limited budget. I think you can buy much better quality going with a used welder off Craigslist, up to $150, compared to buying the 110v 'mig' Harbor Freight unit (or its clones) which is a common beginner choice. HF doesn't have infinitely variable voltage and wire speed, and the output is AC, unusual and not as satisfactory as a 'real' welder.
Or for buying used and real cheap, under $75, I think any of the small 110v stick welders would do the job. DC preferred but not essential. AC won't make as pretty welds but it was used to build ships in WWII, it gets the job done.
If you need to weld larger things, implements etc look on Craigslist for an ancient 220v stick welder, 180 amps and up. They are indestructible, $50~75 will get you something old and ugly, maybe a forgotten brand, that works about the same as new. There's nothing breakable inside that type, just a huge heavy transformer and a (replaceable) fan. Brand is irrelevant.
Photo. My $50 welder - mid-60's Wards Powercraft 230 amp AC. Specs near identical to a Lincoln 'tombstone' but infinitely variable amps.