There does not seem to be information based on the spelling Nerize.
When searching for the name Nerize, the only meaning of a name found that is similar was Nerise. It is a girl's name in both Greek and Welsh. It is also a variant of the name Nerissa and Nerys. The name is not one of the more commonly used. Other variants of the name include Narice, Naryssa, Nericcia, Nerice, Neris, Nerisa, and Nerisse. It is possible that Nerize is one of the spellings though it is not found online as such.
The name Nerise means Sea Nymph, or from the sea when speaking of the Greek. It has been replaced by Melissa and Marisa as a more common name in the USA. The more common variant Nerissa is used more often than Nerise.
It also does not seem to be a popular name in other countries, except that of Greece perhaps. For the last several decades it has not appeared in the 1000 most popular names. For anyone looking for a girl's name it may be one to choose based on the lack of use. It would certainly be unique.
The meaning can also be important to someone who loves water and wants to show that through their daughter's name. As meanings go it is also a less common meaning than some of the other names chosen. More commonly Alexandra or Phoebe are chosen as these are related names to Nerise. For boys with similar meanings or relations Adonis or Gregory could work.
One can always use the spelling Nerize if you wish, just to make the name different. Any other variants could also be used whether one wants Welsh, Greek, or Spanish spellings.
