"CHELLASTON is an inconsiderable parish, in the same hundred as Melbourn, 3½ miles N. from that village, and 4½ S.E. by S. from Derby. The places of worship are, the parish church, dedicated to St. Peter, and a chapel for Wesleyan methodists. The living of Chellaston is a perpetual curacy, in the gift of the Bishop of Carlisle. Population, 352."
[Description from Pigot and Co's Commercial Directory for Derbyshire, 1835]
Chellaston is currently considered a suburb of the city of Derby, lying 5 miles south of the city centre and 130 miles north of London. It is the southern-most part of the city of Derby. You can read more about the village at the Discover Derby site.
You can see pictures of Chellaston which are provided by: