According to the marriage record, both Jeremiah and Eliza were age 45. Here parents are identified as Elias & Delilah Pettey. Jeremiah is identified as Illegitimate son of Lydia Manchester. The marriage record says it was a third marriage for him and a second marriage for her. (Tiverton Marriages, 1850-1900 p 14)
In the Federal Census of 1850, Eliza Lake is age 35, living in Tiverton, RI. With her are the following, all Lake: William 18, Marybe 10, Thomas 9, Jared 5, Nabby 65, Abby 30, and Sally 43. It appears that Eliza may be a widow, but this needs more research to confirm. Many other Lake individuals are listed on the same census page, including a couple named Job & Eliza, but they are a bit older.