My line is as follows:

1.Joseph Slaymaker
2. William Lawrence Slaymaker
3. William F. Slaymaker
4. Frederick W. Slaymaker
5. William Mathias Slaymaker, Sr.
6. Mathias Slaymaker, Jr.
7. Mathias (Schleiermacher) Slaymaker

If you can make a connection I have more information.