I don't know if they had Children, I am thinking not according to his will...see below.... I came across this Moses while trying to find info on another Moses Alden but I think they are related but having trouble making the connection.I did just find where Moses Alden (the one I am tracking) could be son of William Alden and Rachael Kingsbury.
I have a copy of a snipit of the will of your Moses that a friend found on a databaseAbstracts of Wills, Admins. and GuardianshipsP 440 in NYS 1787-1833.
Moses Alden of Windsor, Co. Broome, do 11 April 1829--to my wife Betsey (sic) all my lands & moveable Estate during her life & afther her decease all my land & moveable estate for the Support of Common schools--ordain my wife Betsey & David Brown Exix & Exr.(in a circle sig) Moses Alden in a circle the word seal Joseph BrownJames Y. BrownFanny Brown 28 Dec 1835 Then it looks like Betsey died in 1839Page 61Estate of Betsey Alden .......lately died intestate. Grantetor or Granted Jospeh A. ....in Co. Broome as Admin. Dated First April 1839.