It’s a hard one to work out for sure, but my final guess would be ‘Burk’ now looking at the third letter.

I hope you get some more people looking as more pairs of eyes always help on tricky pen strokes.

To be honest now looking at the third letter it looks like it could be an ‘r’, so may read ‘Burk’.

This is quite the palaeographical puzzle 🧐

Aww ok I see, the first letter is tricky. But on first glance it looks like a ‘B’.

Could it be Buck. as in Buckinghamshire?

Thank you ❤️