Unfortunately there is no image available in Scotlandspeople relating to Jean Thomson Ferguson
However there is an
index entry on Scotland's People for Jean Thomson Ferguson. So if you have clicked on that entry and no image has come up, get in touch with SP and they will sort it out.
This looks to be a badly transcribed 1851 census entry from Ancestry (I haven't checked whether it shows on FreeCen)
It won't be; none of the 1851 census of Angus is on FreeCen so far.
No, the connection is spurious and Jemima (or Jamina) was a Kennedy and her husband was Henry Ferguson always stated as a Police Officer from 1838 until his death in 1892.
I would not dismiss the possibility. Both Henry and Jemima are very unusual names, and it would be stretching the long are of coincidence a bit far to have two Henry Fergusons, both married to a Jemima, of similar ages and living in the same parish, with a daughter Janet or Jessie (those names are totally interchangeable in Scotland) of the same age. The information was presumably supplied by the head of household, John McMilne, and either he or the enumerator could have got things wrong.
I have the information concerning her birth under the name Jamena and her father Robert and mother Elizabeth Peterkin, but I was not sure of the accuracy.
What does her death certificate say her parents' names were? Are they not the same?