Hi Nicola - more info
On 1881 census, living in Taunton St James, Somerset, we have Eli married to a Mary J ... based on date of Bessie, these are the pair you want who got married 1869
Delving into 1837online & FreeBMD I have found them

Eli Pike married Mary Jane BILLING
in jul-sept 1869 at Honiton district vol 5b page 32
On 1881 census
Name Birth Year Birthplace Relationship
Bessie Pike abt 1870 Honiton, Devon Daughter
Charles Pike abt 1880 Taunton, Somerset Son
Eli Pike abt 1849 Honiton, Devon Head Chimney Sweep
Eli Pike abt 1875 Honiton, Devon Son
Harry Pike abt 1873 Honiton, Devon Son
Mary J. Pike abt 1850 Bampton, Devon Wife
William J. Pike abt 1877 Honiton, Devon Son
& there' s a Eli junior with brother Harry , but not the same Harry born in Up Ottery - who is next
here in 1881 visiting his future wife Mary

at Little Down, Yarcombe, Devon
Eli Northam abt 1838 Yarcombe, Devon Head ag Lab
Mary Northam abt 1858 Yarcombe, Devon Daughter
Sarah Northam abt 1842 Yarcombe, Devon Wife
Harry Pike abt 1860 Upottery, Devon, Visitor
I suspect these may be related - but no proof as yet
John P