After 20 years I finally found a surname for Rebecca--it is Boileau. She was born somewhere around 1805-1815 in Pennsylvania. By 1836 she was married to John Ascough (As-coo), an English-born blacksmith. In 1850 they were in the Northern Liberties part of the city, 1860 home was near Frankford & Adams, 1870 Rebecca lived at 124 Laurel. She died Jan 18, 1872 in Philadelphia.
She named her children Mary Elizabeth, George, John, Rebecca, Lewis/Louis, Charles, and Morris/Maurice.
The IGI has a record of a Rebekah Boileau, b. 3/17/1805, Abington, Montgomery, PA, parents Isaac Billew and Ann/Nancy Bickley. I found what appears to be that Isaac on 1830 census, Mont. Co., and there is a female in their household age 20-30. But there are lots of Isaacs in the area. Anyone have any idea who my Rebecca is??