Is the formula name for water hydroxide?

Answer 1

No, hydroxide is the name for the OH- ion. Water is almost universally called "water" or the equivalent in the local language. Once in a great while it might be referred to as "hydrogen oxide" or some variant on that (dihydrogen monoxide, hydronium hydroxide, etc.) but this is generally used only in a joking manner. For example, there's an article you could probably find online about the "dangers" of dihydrogen monoxide, including such things as "DHMO is highly addictive; withdrawal symptoms include dryness of the mouth, severe thirst, dehydration and ultimately death in 100% of cases."