Generating Hydrogen Gas
To generate hydrogen, all you need is an acid and a metal that will react with that acid. Try vinegar (acetic acid) with zinc, aluminum, magnesium, etc. You can collect hydrogen in something if you note that it is lighter than air.... Light a small amount and it burns with a small *pop*.
Another way of creating hydrogen is by the electrolysis of water. This involves separating water (H2O) into hydrogen and oxygen by an electric current. To do this, you need a 6-12 volt battery, two test tubes, a large bowl, two carbon electrodes (take them out of an un-working 6-12 volt battery), and table salt. Dissolve the salt in a large bowl full of water. Submerge the two test tubes in the water and put the electrodes in side them, with the mouth of the tube aiming down. Connect the battery to some wire going down to the electrodes.
This will work for a while, but chlorine will be generated along with the oxygen which will undoubtedly corrode your copper wires leading to the carbon electrodes... (the table salt is broken up into chlorine and sodium ions, the chlorine comes off as a gas with oxygen while sodium reacts with the water to form sodium hydroxide....). Therefore, if you can get your hands on some sulfuric acid, use it instead. It will not affect the reaction other than making the water conduct electricity.
Hydrogen + Chlorine
Take the test tube of hydrogen and cover the mouth with your thumb. Keep it inverted, and bring it near the bottle of chlorine (not one that has reacted with turpentine). Say "goodbye test tube", and drop it into the bottle. The hydrogen and chlorine should react and possibly explode (depending on purity and a mount of each gas). An interesting thing about this is they will not react if it is dark and no heat or other energy is around. When a light is turned on, enough energy is present to cause them to react.
Preparation of Oxygen
Get some hydrogen peroxide (from a drug store) and manganese dioxide (from a battery- it's a black powder). Mix the two in a bottle, and they give off oxygen. If the bottle is stoppered, pressure will build up and shoot it off. Try lighting a wood splint and sticking it (when only glowing) into the bottle. The oxygen will make it burst into flame. Experiment with it. the oxygen will allow things to burn better.
Chemical Equivalency List
Acacia
Gum Arabic
Acetic
Acid
Vinegar
Aluminum Oxide
Alumia
Aluminum Potassium Sulphate Alum
Aluminum Sulfate
Alum
Ammonium Carbonate
Hartshorn
Ammonium Hydroxide
Ammonia
Ammonium Nitrate
Salt Peter
Ammonium Oleate
Ammonia Soap
Amylacetate
Banana Oil
Barium
Sulfide
Black Ash
Carbon Carbinate
Chalk
Carbontetrachloride
Cleaning Fluid
Calcium Hypochloride
Bleaching Powder
Calcium
Oxide Lime
Calcium
Sulfate
Plaster of Paris
Carbonic
Acid
Seltzer
Cetyltrimethylammoniumbromide Ammonium Salt
Ethylinedichloride
Dutch Fluid
Ferric
Oxide
Iron Rust
Furfuraldehyde Bran Oil
Glucose
Corn Syrup
Graphite
Pencil Lead
Hydrochloric Acid
Muriatic Acid
Hydrogen Peroxide
Peroxide
Lead
Acetate
Sugar of Lead
Lead Tero-oxide
Red Lead
Magnesium Silicate
Talc
Magnesium Sulfate
Epsom Salt
Methylsalicylate Winter Green Oil
Naphthalene Mothballs
Phenol
Carbolic Acid
Potassium Bicarbonate
Cream of Tarter
Potassium Chromium Sulfate
Chromealum
Potassium
Nitrate Salt
Peter
Sodium
Oxide
Sand
Sodium Bicarbonate
Baking Soda
Sodium
Borate
Borax
Sodium Carbonate
Washing Soda
Sodium
Chloride Salt
Sodium Hydroxide
Lye
Sodium
Silicate
Glass
Sodium
Sulfate
Glauber's Salt
Sodium Thiosulfate
Photographer's Hypo
Sulfuric
Acid
Battery
Acid
Sucrose
Cane Sugar
Zinc
Chloride
Tinner's Fluid
Zinc
Sulfate
White Vitriol