"...bear an Egge very high, that the breadth of a groat be out of the water"
Why yes, I just recently did this exact thing. I was also curious.
First, don't overthink it ... just use an egg ... don't futz too much about how big it is, or how fresh it is. Back in the "olden timey" days they really didn't get too caught up about whether the egg was an "extra large" or "jumbo", or whatever else ... I suspect they just used an egg from a chicken, that was laid in a coop nearby.
Second ... what happens when you put an egg in water at room temperature ... ho-ho ... it sinks right to the bottom!
Third ... I had to find out what a "groat" was ... apparently it's a coin that was roughly a 1-inch diameter ... but that's an average size ... some were a bit larger, some a bit smaller. Anyway, I went with the 1-inch diameter.
Fourth, I started a new must, and once it was ready, but before pitching the yeast (so ... just the honey - 3.5 lbs, and water portion - enough to make a final volume of one gallon), I floated an egg (cleaned well and sanitized of course!) to see how it floated. Lo and behold ... about an inch of egg was poking out of the must ... a "groat's worth"!
Fifth, I then measured the specific gravity ... came to 1.114 ... right about where I had expected it to be.
I started this monster on 24 July 2013, and the yeast I used was the "barm" from an ale I had started a few days earlier ... another test of the "olden recipes". The "barm" is just the foamy stuff on the top of the ale ... full of all kinds of active yeast.
Fermentation took off like gang-busters. The date of my posting is 17 September 2013 ... and the mead is clear as can be ... and there appears to be no more fermentation. It looks mighty fine! The ale yeast I used really shouldn't have been able to take the must past about 9% abv ... so I suspect it's going to be fairly sweet. But that's also OK ... all part of the experiment!
Now I know ... and so do you!! Give it a shot!
Phil