do i have a female and male tetra, and why does one stay in the bottom corner?

The only way to sex neon tetras is to SEE one laying eggs, and the other leaving sperm on them..

You aren't going to get neon tetra fry even if they did spawn. Their fry are much to small to survive with any other fish. Fat fish may be females with eggs in them, or overstuffed males.

P.S. Mammals are called "Pregnant' . Fish have eggs are ar 'fat with eggs' or live bearers have developing embryos and are said to be 'Gravid'..

You don't mention the size of the tank nor if it is planted. If one looks at many egg layers and even a number of livebearers, one will notice that the males are slimmer than the females who need the space for eggs or developing young. An exception is that fish with internal bacterial infections will also swell up. So try to keep up gravel vacuuming up feces & doing up to 50% weekly partial water changes with prepared water of the same temperature (72 to 76 for neons). Maybe raise the temperature a little for spawning.

If you wish to spawn your neons you need to start them young in water with a very modest mineral level. TDS or total dissolved solids would have to be under 100 TDS. Hardness is not the same thing, But a part of TDS. Hardness should also be under 5 degrees hardness or DH. Possibly lowering the water to 4 DH or 68 PPM hardness would help enable them to spawn.

Feeding with frozen foods like bloodworms (defrosted in cool water, rinsed gently in a fine-meshed net) would help condition them. In summer mosqsuito larvae could help condition them. Small blackworms, white worms or grindle worms or Daphnia also provide lipids, important ingredients in eggs.

Your "female" may be cowering because there are no plants to shelter in. Curiously the more shelter some fish have, the more they are out front.

Neon tetras, like so many of their relatives in the wild, live in schools of scores to thousands. If we keep them in groups of 5 to 7 that is a step in that direction.

This probably was't an issue, but darker gravel also calms fish, who feel less vulnerable to aerial predation.

If you have two 10-gallon tanks, for the last week or two of conditioning, separate the females from the males. Reunite them in a well planted aquarium. Perhaps 80% of the substrate The microscopic creatures (protists, Vortecella...) living on the leaves will be first foods for the tiny fry. Securing a microworm culture or paramecium culture (maybe from an aquarium club - Google your area & aquarium society) would be a great second food before you began feeding newly hatched bbs (or baby brine shrimp). Be careful not to over feed the bbs.

It is possible that they will take a tiny bit of one of the powdered egg layer food. Don't waste you time with liquid foods like Liqifry. Once all of the eggs are hatched, you might be wise to introduce ramshorn snails to eat untouched food.

Put the males with the females and continue to feed them well. Tetras & a lot of egglayers tend to spawn at the first strong light. If your plants will be under a light on a timer, you might quietly sat down where you can view the tank. Males will approach the females & if allowed to, curl up next to them.

When you believe the neons have spawned in the morning, remove all of them to the other 10-gallon with the same kind of water. The eggs will hatch in a couple of days. If takes them a few days to absorb their yolk sack. At 5-6-7 days after spawning look for tiny slivers of glass foraging at the surface.

Here is a video sort of showing spawning. Notice how the tetras are literally swimming in Daphnia. Lots of egglayers will eat their own eggs. But what they take will be a lot less with other foods available. The tank is pretty well filled with several low-light plants such as Java moss, Java fern and Anubias.

https://www.youtube.com/watch?v=C_K8TmWqCmw

Here is a more obvious spawning of the more tractable black neons;

http://www.youtube.com/watch?v=a0ATjXVREzY

You don't mention what fish you've encouraged to spawn. Some aquarists start with a livebearer & raise the fry to a splendid adulthood. They then move on to an easy to spawn egg layer such as zebra danios, lemon tetras or Bettas. Very rarely a well read newer aquarist will set up one of our "target fish" and they will spawn. By the way, we speak of spawning a species, but they do the spawning. ;)

If you can coax neon tetras into spawning and raise their fry to maturity, you are really among the ranks of the most skilled aquarists.

Tetras are sensative schooling fish, a school of 6 is the smallest group they should bein, a school of 8 or more is better. It is likely that the fish is hiding because it is stresseed.