chandrika is a Sanskrit origin name. The chandra bit is probably a cognate of shine, and in Rgveda does mean that; but very quickly (i.e. from later Vedic period, at least) came to mean moon and soon became the common word for moon in Sanskrit.
Indian Baby Name Meaning Chandri.
The name Chandria is a Sanskrit baby name. In Sanskrit the meaning of the name Chandria is: Of the moon.