Not sure there is a match but because of the closeness of Lancaster to Philadelphia, I thought I would reply.
My Mr Senate(1st name unk) married Mary A Barnes in PA abt 1836 and they lived in Philadelphia. Mary Barnes was born abt 1815 in Pennsylvania. They had 3 children. Charles(b1837), Amanda(b1841,d1928), & Caroline(b1843). I know a good bit about Amanda's life but not the others. Mr Senate died about 1844 and his wife went on to remarried. My ggrandmother was a chiold of the 2nd marriage.
Hope we might help each other.
Steve