Thomas Spencer, II - Evidence for parents?

Been looking. Found this one: https://sites.rootsmagic.com/GonyonHistory/individual.php?p=19174

https://ancestors.familysearch.org/en/9HQY-RX7/thomas-spencer-1362-...

https://www.hyde.imwa.com.au/getperson.php?personID=I179844&tre...

Does this help?

Clipping out the upper ends of my paths on both sides, as it does look a bit odd and connected in a way that seems unusual--although marrying close cousins happened, so not entirely sure this means it is incorrect?

Sir John Carey (his father) → Margaret Carey, Lady Of Cary (his mother) → Sir Robert Spencer, Knt., of Spencercombe (her father) → John Spencer, Esq. (his father) → Lady Margaret le Despenser (his mother)

and on the other side:

Lady Emma le Despencer, Lady of Swallowfield (her daughter) → Sir John le Despenser, Kt. (her son) → Sir William le Despenser (his son) → John le Despenser (his son) → Baron Nicholas le Despenser, of Defford (his son) → Thomas le Despenser, Esq. (his son) → Thomas Spencer, II (his son)

Is there anything useful in this profile:

John Spencer, Esq.