Yeh anywhere in Duffield will certainly be in catchment inc the house you posted @Honeybu.
The other areas are some of the smaller villages - bc Ecc is the nearest school outside Derby - so Kirk Langley, Mugginton, Little Eaton as @PorcupineSpongeTeeth says are all in catchment. Duffield is best tho as your DC can walk - the other areas have a dedicated school bus.
In Derby itself, Darley Abbey is in catchment but not the other side of Duffield Road, and not houses in the Belper Road area.
In Allestree, catchment is the further side of the A6 (so Lambourn Drive/Derwent Ave) which is a less nice area IMHO as it has no primary school or shops or any other facilities. Houses here go for less than Duff or D Abbey (maybe bc it is a bit soulless) so that's worth bearing in mind.
Note that Milford is the next village to Duffield but it is not in catchment - bc DC there can easily get to Belper School. Also do not believe estate agents who frequently lie about this.
There is a big new estate off Kedleston Road which claims to be in Ecclesbourne area but apparently the school is disputing this to it's not a very safe bet!