Henry Hixon, Rachel Moore, Niagara area Ontario

I am looking for parents for Rachel b. 06 Jul 1776 d. Aug 10 1832. Assume the following is for this Henry: Hamilton Masonic District B records:"Captain Hixon", was active in Masonic and Militia affairs at The Forty. When Governor Simcoe formed his loyal Lincoln Regiments, Henry Hixon became an officer in the 4th Lincoln. He served with that regiment during the War of 1812 and was in several battles. There was a story told by a brother officer, Jonathan A. Pettit, that after the Battle of Stoney Creek, the American army retired to The Forty and were forced to flee from that position when Yeo's fleet shelled them from the lake. He and Captain Hixon took their arms and went in pursuit along the shore, and captured about 40 American prisoners.
Also have their child Esther Ann but also have an Esther Ann married to Robert Nelson Zimmerman and hope Henry and Rachel are her parents. Similarly, have William Hixon b. Jun 1812 married to Maria Zimmerman but no parents for William. Hope he is William Henry son of Henry and Rachel.