Please read the following table in Markdown format and then answer the question according to the table. Table cells in one row are seperated by '|', and different rows are seperated by '
'.

Table:
| District | Incumbent | Party | First elected | Result | Candidates |
| --- | --- | --- | --- | --- | --- |
| Virginia 1 | John G. Jackson | Democratic-Republican | 1803 | Re-elected | John G. Jackson (DR) 57.2% Thomas Wilson (F) 42.8% |
| Virginia 2 | James Stephenson | Federalist | 1803 | Lost re-election Democratic-Republican gain | John Morrow (DR) James Stephenson (F) |
| Virginia 3 | John Smith | Democratic-Republican | 1801 | Re-elected | John Smith (DR) |
| Virginia 4 | David Holmes | Democratic-Republican | 1797 | Re-elected | David Holmes (DR) |
| Virginia 6 | Abram Trigg | Democratic-Republican | 1797 | Re-elected | Abram Trigg (DR) |
| Virginia 8 | Walter Jones | Democratic-Republican | 1803 | Re-elected | Walter Jones (DR) 99.0% Henry Lee (F) 1.0% |
| Virginia 9 | Philip R. Thompson | Democratic-Republican | 1793 | Re-elected | Philip R. Thompson (DR) |
| Virginia 10 | John Dawson | Democratic-Republican | 1797 | Re-elected | John Dawson (DR) 66.2% James Barbour (Quid) 33.8% |
| Virginia 13 | Christopher H. Clark | Democratic-Republican | 1804 (special) | Re-elected | Christopher H. Clark (DR) |
| Virginia 14 | Matthew Clay | Democratic-Republican | 1797 | Re-elected | Matthew Clay (DR) 88.9% William Lewis (F) 11.1% |
| Virginia 15 | John Randolph | Democratic-Republican | 1799 | Re-elected | John Randolph (DR) |
| Virginia 16 | John W. Eppes | Democratic-Republican | 1803 | Re-elected | John W. Eppes (DR) |
| Virginia 18 | Peterson Goodwyn | Democratic-Republican | 1803 | Re-elected | Peterson Goodwyn (DR) |
| Virginia 19 | Edwin Gray | Democratic-Republican | 1799 | Re-elected | Edwin Gray (DR) |
| Virginia 20 | Thomas Newton, Jr. | Democratic-Republican | 1799 | Re-elected | Thomas Newton, Jr. (DR) 100% |
Question:
Name the incumbent for virginia 18
Answer:
Peterson Goodwyn