Hey Chrisell
I found this information on these sites:
http://www.thinkbabynames.com/meaning/0/Amarishttp://www.babynamenetwork.com/detail.cfm?name=Amaris&gender=Femalehttp://www.babynames.com/Names/name_display.php?n=AMARIShttp://www.babynamecorner.com/babynames/a/42/
A couple of Dutch sites say the same.
Some sites say that te meaning is also "child of the moon". That would be the astrological name for Cancer.
I have also found variant forms of Amaris:
Amariah, Amarissa, Amarit, Amarisa and Amarise