I've had a quick look at my file of Bramshott BMDs. Below is the Beagley Baps that I have located. There maybe more, as not all my records are computerised yet.
Bapt 1779-06-Apr Eleanor dau of John & Sarah BEAGLEY Bramshott, Hampshire, Eng
Bapt 1784-04-Apr Elizabeth dau of James & Hannah BEAGLEY Bramshott, Hampshire, Eng
Bapt 1776-18-Aug George son of John & Sarah BEAGLEY Bramshott, Hampshire, Eng
Bapt 1801-01-Feb Hannah dau of James & Hannah BEAGLEY Bramshott, Hampshire, Eng
Bapt 1776-06-Oct James son of James & Hannah BEAGLEY Bramshott, Hampshire, Eng
Bapt 1771-23-Sep John son of John & Sarah BEAGLEY Bramshott, Hampshire, Eng
Bapt 1782-21-Apr Mary dau of James & Hannah BEAGLEY Bramshott, Hampshire, Eng
Bapt 1774-27-Feb Sarah dau of John & Sarah BEAGLEY Bramshott, Hampshire, Eng
Bapt 1775-19-Apr Sarah dau of James & Hannah BEAGLEY Bramshott, Hampshire, Eng
Bapt 1801-03-Apr William son of George & Elizabeth BEAGLEY Bramshott, Hampshire, Eng