yes , this is the one I think most likely, bit cannot prove. There are a few Jane Rochesters b 1800 - 1812 in the area, but I cannot confirm any. Her death certificate gives neither parents names and as marriage in 1821 nothing on marriage cert.
There is also a jane b 1805 of William Rochester & Elizabeth Rawling and 1799 of John Rochester & Elizabeth Bainbridge
janes first daughter is Elizabeth & 2nd son is William. Most of her children have Rochester as a middle name.
On census & shipping records there is an age discrepency of 10 years.