Please read the following table in HTML format from a webpage and then answer the question in detail according to the table. Each table cell is defined by a <td> and a </td> tag. Each table row starts with a <tr> and ends with a </tr> tag. 'rowspan=m' and 'colspan=n' represents a cell spaning over 'm' rows and 'n' columns.

Webpage title:
William Price (footballer)
Table title:
Statistics
Table:
<table id='hittask' contenteditable='False'>
<tr> <th colspan=1 rowspan=2 > Club </th><th colspan=1 rowspan=2 > Season </th><th colspan=1 rowspan=2 > Division </th><th colspan=2 rowspan=1 > League </th><th colspan=2 rowspan=1 > FA Cup </th><th colspan=2 rowspan=1 > Other </th><th colspan=2 rowspan=1 > Total </th></tr>
<tr> <th colspan=1 rowspan=1 > Apps </th><th colspan=1 rowspan=1 > Goals </th><th colspan=1 rowspan=1 > Apps </th><th colspan=1 rowspan=1 > Goals </th><th colspan=1 rowspan=1 > Apps </th><th colspan=1 rowspan=1 > Goals </th><th colspan=1 rowspan=1 > Apps </th><th colspan=1 rowspan=1 > Goals </th></tr>
<tr> <td colspan=1 rowspan=1 > Brentford </td><td colspan=1 rowspan=1 > 1927–28 </td><td colspan=1 rowspan=1 > Third Division South </td><td colspan=1 rowspan=1 > 1 </td><td colspan=1 rowspan=1 > 1 </td><td colspan=1 rowspan=1 > 0 </td><td colspan=1 rowspan=1 > 0 </td><td colspan=1 rowspan=1 > 0 </td><td colspan=1 rowspan=1 > 0 </td><td colspan=1 rowspan=1 > 1 </td><td colspan=1 rowspan=1 > 1 </td></tr>
<tr> <td class="highlighted"  colspan=1 rowspan=10 > Fulham </td><td class="highlighted"  colspan=1 rowspan=1 > 1928–29 </td><td class="highlighted"  colspan=1 rowspan=1 > Third Division South </td><td colspan=1 rowspan=1 > 29 </td><td colspan=1 rowspan=1 > 13 </td><td colspan=1 rowspan=1 > 3 </td><td colspan=1 rowspan=1 > 1 </td><td colspan=1 rowspan=1 > 0 </td><td colspan=1 rowspan=1 > 0 </td><td colspan=1 rowspan=1 > 32 </td><td colspan=1 rowspan=1 > 14 </td></tr>
<tr> <td class="highlighted"  colspan=1 rowspan=1 > 1929–30 </td><td class="highlighted"  colspan=1 rowspan=1 > Third Division South </td><td colspan=1 rowspan=1 > 25 </td><td colspan=1 rowspan=1 > 9 </td><td colspan=1 rowspan=1 > 4 </td><td colspan=1 rowspan=1 > 1 </td><td colspan=1 rowspan=1 > 0 </td><td colspan=1 rowspan=1 > 0 </td><td colspan=1 rowspan=1 > 29 </td><td colspan=1 rowspan=1 > 10 </td></tr>
<tr> <td class="highlighted"  colspan=1 rowspan=1 > 1930–31 </td><td class="highlighted"  colspan=1 rowspan=1 > Third Division South </td><td colspan=1 rowspan=1 > 19 </td><td colspan=1 rowspan=1 > 6 </td><td colspan=1 rowspan=1 > 1 </td><td colspan=1 rowspan=1 > 1 </td><td colspan=1 rowspan=1 > 0 </td><td colspan=1 rowspan=1 > 0 </td><td colspan=1 rowspan=1 > 20 </td><td colspan=1 rowspan=1 > 7 </td></tr>
<tr> <td class="highlighted"  colspan=1 rowspan=1 > 1931–32 </td><td class="highlighted"  colspan=1 rowspan=1 > Third Division South </td><td colspan=1 rowspan=1 > 31 </td><td colspan=1 rowspan=1 > 4 </td><td colspan=1 rowspan=1 > 5 </td><td colspan=1 rowspan=1 > 1 </td><td colspan=1 rowspan=1 > 0 </td><td colspan=1 rowspan=1 > 0 </td><td colspan=1 rowspan=1 > 36 </td><td colspan=1 rowspan=1 > 5 </td></tr>
<tr> <td class="highlighted"  colspan=1 rowspan=1 > 1932–33 </td><td colspan=1 rowspan=1 > Second Division </td><td colspan=1 rowspan=1 > 30 </td><td colspan=1 rowspan=1 > 6 </td><td colspan=1 rowspan=1 > 1 </td><td colspan=1 rowspan=1 > 0 </td><td colspan=1 rowspan=1 > 0 </td><td colspan=1 rowspan=1 > 0 </td><td colspan=1 rowspan=1 > 31 </td><td colspan=1 rowspan=1 > 6 </td></tr>
<tr> <td class="highlighted"  colspan=1 rowspan=1 > 1933–34 </td><td colspan=1 rowspan=1 > Second Division </td><td colspan=1 rowspan=1 > 26 </td><td colspan=1 rowspan=1 > 4 </td><td colspan=1 rowspan=1 > 0 </td><td colspan=1 rowspan=1 > 0 </td><td colspan=1 rowspan=1 > 0 </td><td colspan=1 rowspan=1 > 0 </td><td colspan=1 rowspan=1 > 26 </td><td colspan=1 rowspan=1 > 4 </td></tr>
<tr> <td class="highlighted"  colspan=1 rowspan=1 > 1934–35 </td><td colspan=1 rowspan=1 > Second Division </td><td colspan=1 rowspan=1 > 23 </td><td colspan=1 rowspan=1 > 4 </td><td colspan=1 rowspan=1 > 1 </td><td colspan=1 rowspan=1 > 0 </td><td colspan=1 rowspan=1 > 0 </td><td colspan=1 rowspan=1 > 0 </td><td colspan=1 rowspan=1 > 24 </td><td colspan=1 rowspan=1 > 4 </td></tr>
<tr> <td class="highlighted"  colspan=1 rowspan=1 > 1935–36 </td><td colspan=1 rowspan=1 > Second Division </td><td colspan=1 rowspan=1 > 4 </td><td colspan=1 rowspan=1 > 2 </td><td colspan=1 rowspan=1 > 0 </td><td colspan=1 rowspan=1 > 0 </td><td colspan=1 rowspan=1 > 0 </td><td colspan=1 rowspan=1 > 0 </td><td colspan=1 rowspan=1 > 4 </td><td colspan=1 rowspan=1 > 2 </td></tr>
<tr> <td class="highlighted"  colspan=1 rowspan=1 > 1936–37 </td><td colspan=1 rowspan=1 > Second Division </td><td colspan=1 rowspan=1 > 2 </td><td colspan=1 rowspan=1 > 1 </td><td colspan=1 rowspan=1 > 0 </td><td colspan=1 rowspan=1 > 0 </td><td colspan=1 rowspan=1 > 0 </td><td colspan=1 rowspan=1 > 0 </td><td colspan=1 rowspan=1 > 2 </td><td colspan=1 rowspan=1 > 1 </td></tr>
<tr> <th colspan=2 rowspan=1 > Total </th><th colspan=1 rowspan=1 > 189 </th><th colspan=1 rowspan=1 > 49 </th><th colspan=1 rowspan=1 > 15 </th><th colspan=1 rowspan=1 > 4 </th><th colspan=1 rowspan=1 > 0 </th><th colspan=1 rowspan=1 > 0 </th><th colspan=1 rowspan=1 > 204 </th><th colspan=1 rowspan=1 > 53 </th></tr>
<tr> <td colspan=1 rowspan=1 > Port Vale </td><td colspan=1 rowspan=1 > 1937–38 </td><td colspan=1 rowspan=1 > Third Division North </td><td colspan=1 rowspan=1 > 13 </td><td colspan=1 rowspan=1 > 2 </td><td colspan=1 rowspan=1 > 0 </td><td colspan=1 rowspan=1 > 0 </td><td colspan=1 rowspan=1 > 1 </td><td colspan=1 rowspan=1 > 0 </td><td colspan=1 rowspan=1 > 14 </td><td colspan=1 rowspan=1 > 2 </td></tr>
<tr> <th colspan=3 rowspan=1 > Career Total </th><th colspan=1 rowspan=1 > 203 </th><th colspan=1 rowspan=1 > 52 </th><th colspan=1 rowspan=1 > 15 </th><th colspan=1 rowspan=1 > 4 </th><th colspan=1 rowspan=1 > 1 </th><th colspan=1 rowspan=1 > 0 </th><th colspan=1 rowspan=1 > 219 </th><th colspan=1 rowspan=1 > 56 </th></tr>
</table>
Question:
What years did William Price play for Fulham, and what years did that team play in the Third Division South?
Answer:
William Price's spell with Fulham was from 1929 to 1937, where they played in the Third Division South until 1931–32.