Your search for "Letters between women" returned 46 letters.
Frances Pierrepont (née Cavendish) writes to her mother, Bess (dowager countess of Shrewsbury), reporting on news received from a recent visitor, John Hales: to do with the king's movements and supposed peace in southern parts of the country in spite of Lord Beauchamp's 'feeble assemblies'.
Aletheia Howard (née Talbot), countess of Arundel, writes a letter to her grandmother, Bess (dowager countess of Shrewsbury), apologizing for 'deferring so long the presenting [of] my duty', but making assurances of her sincere affection. Interestingly, this letter is written on unusual, ornately decorated paper.
Bess (dowager countess of Shrewsbury) writes to the earl and countess of Shrewsbury (her stepson and son-in-law, Gilbert, and her daughter, Mary), wishing them well in a suit they plan to undertake the following Monday. In a postscript to Mary, she expresses her sympathy that Charles (presumably her son and Mary's brother, Charles Cavendish), is still ill and asks her to write and remind him to 'keep good diet'.
Mary, countess of Shrewsbury, writes to her mother, Bess (dowager countess of Shrewsbury), thanking her for a gift of ermine fur and reporting news related to the christening of Bess's great-grandson James (Howard), including the queen's journey to attend it. She is glad that Bess's hip pain has lessened, although she herself is troubled with a pain in her head.
Bess (dowager countess of Shrewsbury) writes to her daughter, Mary, countess of Shrewsbury, asking her to write with news of her and her family.
Mary, countess of Shrewsbury, writes to her mother, Bess (dowager countess of Shrewsbury), to send New Year's greetings and a cushion for Bess to use in daily prayer.