We already have a RE model for May 10. The image you edited is a model the author retrieved from the NASA Scientific Visualization Studio for May 10.
The author edited it first, with his yellow and red lines.... Agree?
The author placed the red line in the wrong place ... Agree?
You appear to be telling us that the axis and other elements of the model is wrong and requires some Microsont Paint corrections. What you drew also apparently shows the nights in the NH getting longer after the March Equinox, rather than shorter as commonly believed, in order to get the Moon above the horizon so that you can explain this.
The illustration is not to scale.
I agree his pointer to the sun. I added the axial tilt, since the author had not shown it, and whether or not the grey line points exactly to the Moon is moot, as the Moon is so far off scale as to be laughable. Give or take a few degrees, the Moon was out there in that general direction.
The point is ... whether or not Blunham had a sightline to the Moon. The author simply drew a line on the opposite side of the Sun, as far away from the sun as possible. The red line. That's not where Blunham is, or was, at that time. It's not even a correct representation of midnight on that night. Midnight on the clock did not occur at a midpoint between sunset and sunrise.
The black dot shows the North Pole, the orange dots the general path of Blunham. Given the sunset and sunrise times quoted, it would be nearer sunset, more toward the left-hand orange dot, than sunrise, at the right.
Why do you think the night is represented as being longer? The axial tilt pointing in the direction of the sun makes it shorter. I've written out the sunset and sunrise times which correspond to that date, and these show night as 8h36m; so a short night, compared to a day of around 15.5 hours....