Here is what is shown in MASSOG volume 32:26:
"Known children of Isaac and Alice (--) Cleveland:[14] MOSES 1 CLEVELAND, bp. 2 Feb. 1620/21 ,," son of Isaac & Alice at St. Stephen's church: d., Woburn, Mass., 9 Jan. 1702 [1701/2 or 1702/3];[15] m. Woburn 26 Sept. 1648 ANN WINN.[16]"
The birth citation listed for the 3 children, all of whom were baptized at St. Stephen's is ''Parish Registers of Ipswich, England'' (I have not included the citations for Moses' death or marriage, but they are shown)
The article gives further info on Moses' father Isaac and grandfather Richard, and ggf William as well.
Full citation for article: "THE ENGLISH ORIGIN OF MOSES1 CLEVELAND OF WOBURN, MASSACHUSETTS", by John Brooks Threlfall, MASSOG A Genealogical Magazine for the Commonwealth of Massachusetts 32 (2008), pages 22-26