We need to find Thomas's birth record first. How do you know he was born in Hambrook?
I've found evidence of his life on Jersey although I'm slightly confused as to whether Thomas and Jane were married or not. I found this record: "Burial Register of St Helier Parish Church. Entry for Mary Horner, daughter of Thomas Horner and Jane Elizabeth Lander, aged 5 weeks" here
It wasn't clear from the summary whether they were married or not but Jane's burial record seems to confirm they weren't: "Burial Register for All Saints Church. Entry for Jane Elizabeth Lander, aged 75" Jersey Heritage - Jane Elizabeth Lander
However, I also found:
"Jane E. LANDER widow of T. HORNER [aged] 75 years died 1 July 1896 buried 4 [July] 2nd South grave. 7 feet Minister officiating: Rev. Senhouse. Funeral Director: Mr. Croad Mont à L'Abbé New Cemetery Block R Plot 137 Grave s2"
which implies they were married. Is this recognising a common-law marriage or do women on Jersey not take their husband's name?
Anyway, you can find Jane's burial record on Jerrypedia but they've transcribed the surname as Lauder, and this spelling has fed back into findmypast.
The same site has a burial date of 29 August 1891 in St. Helier for Thomas Horner so the profile death location of Yorkshire seems wrong.