Interestingly, I see that some of Ann's children are in Lancashire in 1861:
So we have in 1851
HO107/2526
Castletown, Malew, Isle of Man
4 Quay
Ann Beedon, head, wid, 40, Inn Keeper
Thomas, son, 16, Errand boy
Martha, dau, 12, scholar
Cathrina, dau, 10, scholar
Leaeh?, dau, 8, scholar
William, son, 6, scholar
(1841 shows a few more children, among which an Elizabeth age 9)
Martha age 22 and Elizabeth age 32 are at Chorlton upon Medlock, Lancashire (RG9/2879 107 33) in 1861.
Edit: 1841 also showed a daughter Ann born ca. 1837, who is in Lancashire as well in 1861 (a servant in Ardwick)
A Catherine Beedon age 19 born Isle of Man is also in service at West Derby