Why can't I see 1861 / 1871 census entries on Freecen website when I can see them on Ancestry website?j lрох clusаe.n 7Oаht
According to Ancestry there are two potential census entries (1861 and 1871) for Martha Coke:

I don't have a paid subscription so can't view these documents. What I don't understand though is why I can't track these documents down using the free website here:
https://www.freecen.org.uk/search_queries/new?locale=en
I can't get these entries to display there.
2 Answers
The FreeCen transcription project is ongoing. Their database coverage gives some idea of how complete the coverage is for each county in each census year.
In the case of Dorset, we see:
1861 - 46,737 individuals, representing 26.7% of the population listed in the the census.
1871 - 30,050 individuals, representing 14.1% of the population listed in the the census.
(figures updated on August 12th, 2019 12:16)
Try asking at your local library or archives to see if they offer access to Ancestry for local residents. Many now carry the Ancestry library subscription, and sometime access to other genealogical databases.
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Thanks for the clarifications. I think my local library only lets me view additional records if they fall within Wiltshire. But I will try. – Andrew Truckle 8 hours ago
Freecen is maintained by volunteers and not all census records have been transcribed yet.
If you go to Freecen Database coverage you'll see that coverage of Dorset is only 21% so far.
You can however search at for transcriptions at FamilySearch
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Thanks for the clarifications. Using FamilySearch I was at-least able to spot the marriage banns from May 1878. – Andrew Truckle 8 hours ago
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Just a minor note. The coverage page is broken down by census year, and then by county. The 21% coverage figure for Dorset you mentioned is actually just for the 1941 census. – sempaiscuba 6 hours ago
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For the two years OP is asking about, average in Dorset is 20.4%. Close enough. – ColeValleyGirl 6 hours ago