Would you believe that the Tudor fates were on my side? Having just worked on my "On My Bookshelf" list to the right, I had a stack of books to my side, opened The Six Wives of Henry VIII, flipped through a few pages, and voila! I found my answer! It was almost too easy.
Weir writes that only one letter to Jane survives:
My dear friend and mistress,
The bearer of these few lines from thy entirely devoted servant will deliver into thy fair hands a token of my true affection for thee, hoping you will keep it for ever in your sincere love for me. There is a ballad made lately of great derision against us; I pray you pay no manner of regard to it. I am not at present informed who is the setter forth of this malignant writing, but if he is found out, he shall be straitly punished for it. Hoping shortly to receive you into these arms, I end for the present
Your own loving servant and sovereign,
Not exactly blush worthy. Perhaps Anne had more public support at the time of her death than some historians would like us to believe. At least, Jane may not have been the breath of fresh air Henry believed. Interesting. I'll have to look into this more and believe I will pick myself up Love Letters of Henry VIII to Anne Boleyn as an early birthday present to myself.
Weir, Alison. The Six Wives of Henry VIII. New York, NY: Grove Press, 1991.