I was "given" your name, along with Robert Napthine, as being the "gurus" of the Garnham line! What a build up!
I have resisted the temptation to merely use the efforts of others and have been researching my family roots. My mother was Winifred Garnham. Tracing back her line I get to James Garnham & Alice Fenn (married 1613 in Ipswich). This trail is, I think, reasonably secure. I have seen most of the documents that relate to the chain.
In discussions with Robert Napthine we think that James is in fact written into the Gosbeck records incorrectly and that his baptism is one of the two Thomas Garnham 1571 & 1572.
I have seen, and translated the will of Thomas Garnham, yeoman farmer, of Gosbeck who died in 1591. He had five children named in his will - Thomas (eldest), James, William, Martha and Eleanor (at least I think that is her name as the writing is shocking).
His eldest son, Thomas, is I think the father of James Garnham who married Alice Fenn. Thomas was married to an Elizabeth and produced a series of children, including two Thomas's as previously mentioned.
Sadly the Gosbeck records have missing pages from 1574 to 1580. How annoying and inconvenient!
My e mail address is firstname.lastname@example.org
My tree is on Excel as I find it easier to handle. If you contact me with a forwarding e mail I will send them to you, as I can some of the wills that I have. They can be scanned and sent as attachments if you wish.
Have you any info that might shed further light on the 1the century darkness!