References:
Will 1627 Castle Donington (Image)

Biography:
A Thomas Mee is christened in Kegworth on 18/11/1580 according to familysearch.org.
A Thomas Mee is buried at Castle Donington on 16/6/1627 according to Parish records.

There is no indication that the christening and burial are related, or that the burial is a son of the Thomas linked to, but it's a strong possibility. It would be most unlikely that the father of Jane was born in 1552, and there was a tradition of naming at least one son after yourself. Rather it looks like Thomas the father moved to Kegworth and Thomas the son moved back to Castle Donington.
Constance was probably already married when Thomas made his will.
By stating Ann (An Mee) is his nowe wife it means he was married before, so Constance is probably from the first marriage.

Will 1627:
In the name of god amen. ---- ---- day of June Ano: Doii: 1627. I Thomas Mee of Castle Donington in the ----- of Leicester Labourer, being sicke and weak in bodie, but of sounde and p'fect memorie (thanks be to god the -----) doo by these p---- make and ordayne my last will and testament in manner and form following. First I surrender and bequeathe my soule into the hande of god whoo gave it, And I will that my bodie be ------ buried in the churchyard of Castle Donington, at the ------- of my Executeri-- hearafter named. -- I give and bequeath unto my sonne Thomas Mee in money twentie shillings to be payed unto him at the age of one and twentie yeares. --- I -------- give and bequeath unto my daughter Jane Mee other twentie shillings, to be payed unto her at the said age of one and twentie. All the rest of my goods, cattells, and chattels whatsoever or whersoever I wholly give and bequeath unto An Mee my nowe wife whome I make and ordayne my sole and only Executor of this my last will and testament, by thes p----. And I intreat and appoynte my trustie and welbeloved freinds Thomas Robey and Thomas Pope the younger to be ----- ---- of the ----. In witness wherof I have hereunto putt my hand and seale, the day and yeare first above-----.
Witness herunto
Thomas Pope
Thomas Atwells
Robert Willimola?

Thomas Mee
-------- his mark