My Muzzy ancestor is Hannah Muzzy.She was born in Dublin, Chesire Co., NH in 1802.She married Asa Roe Meacham (wonder if related to your Betsey).
You want to check out Holliston MA and surrounding towns.These towns have got transcribed vital records available in all over the US.
I have the Revolutionary War Pension info on Robert (can't remember Senior/Junior).It is a very interesting read.I can send you a gedcom of my Muzzy info, or point you to some sources that I have used.(I prefer to find info myself but don't mind pointers to sources - I've gotten burned downloading info which turned out to be wrong)
I know that Hannah moved to Will Co. IL after the death of her second husband Obediah Jenks in 1850.There was a Charles Meacham living there as well.I also recall seeing a Thomas Meacham living there in the 1870 timeframe.The census indicates that he was a brother to Hannah.