Hi Esther
First I looked in the IGI and found Andrew Beagley, baptised 22nd June 1817 in Farringdon, son of John and Mary.
This helped as there were at least 7 Beagley families in Farringdon in 1841 (some pages were too faint to read so there may have been more!) Andrew would therefore have been 23 in 1841, rounded down to 20 in the census. This then makes more sense than an 1813 birth.
So here they are:
HO107/381-15 Page 1
John Beagley, 55, Farmer
Mary , 50
Timothy, 25, Gardener
Andrew, 20, Ag Lab
Edward, 14
Ann, 11
John, 8
William, 5
As an extra I also found in the IGI, John Beagley baptised 14th October 1781, in Farringdon, so 59 in 1841, rounded down to 55 and unusually for the IGI there is a death date 8th Feb 1849. This of course needs checking against parish records but looks hopeful! Also, (don't want to go too overboard) a marriage John Beagley to Mary Merrioitt, 27th Oct 1814. You may of course already know all this!
Hope this helps!
Stuart