Hi Cath & Jane,
Glad it is within a walking distance from my couple's house.
Meanwhile, I got the reply from Ian.
He found a plot but it is not my Jane Thompson--here's what he said: We have a Jane Thompson aged 56, years interred in Redcar Cemetery, Date of interment is 20/8/1879.
She lived at the Esplanade in Redcar.
If this is not the right person she may be buried in Coatham Church Yard but i don't hold the records for this, maybe she is in St, Peters Church yard Redcar.
Your Information is correct with your Dates and place.
Well, Cath and Jane, can you make a tail or a head out of this information?

Looking forward to your findings on my couple.
Regards,
Tees