I'm not sure if anyone is still following this thread re the town of "Milingham". The short version: I think it's Nottingham. The long version is below.
I've viewed the original document and (as an amateur graphologist and calligrapher) have compared the strokes of the handwriting to try to figure out our mystery word. In this 28-page document, this word appears only once, written by Justice of the Peace Thomas (?) Holland.
In looking at the Justice's handwriting, his capital M's begin with an arcade - a stroke that starts on the baseline, then curves up to make an arch. However, the first letter of the mystery word does the opposite. The stroke starts higher than the baseline, dips down to touch it, then swings back up and crests like a wave.
That dip is called a garland. Not many people nowadays start their capital N's that way, but it was common in 19th century writing.
The two uprights following the first letter are clearly crossed by a long, thin crossbar ...so these are two t's. There are several other examples on this document that are exactly the same.
All things considered, I think the mystery word could easily be Nottingham, even though there's not much evidence of a letter o. May I also say, this confusion could have been avoided if Mr William A Quynn had done his job correctly in 1840! He didn't fill in the blank for "District" on any of the pages.