You said "quotes" but you linked Wikipedia. Did you mean Wikiquote?
Anyway, you must not parse wikitext yourself. Your aim is fulfilled by the parse
API which you can access with a Python client.
For instance, list of sections (i.e. quoted works) on his Wikiquote article, https://en.wikiquote.org/w/api.php?action=parse&page=Woody_Allen&prop=sections :
{
"parse": {
"title": "Woody Allen",
"pageid": 80,
"sections": [
{
"toclevel": 1,
"level": "2",
"line": "Quotes",
"number": "1",
"index": "1",
"fromtitle": "Woody_Allen",
"byteoffset": 657,
"anchor": "Quotes"
},
{
"toclevel": 2,
"level": "3",
"line": "<i>Getting Even</i> (1971)",
"number": "1.1",
"index": "2",
"fromtitle": "Woody_Allen",
"byteoffset": 11322,
"anchor": "Getting_Even_.281971.29"
},
{
"toclevel": 3,
"level": "4",
"line": "<i>My Philosophy</i>",
"number": "1.1.1",
"index": "3",
"fromtitle": "Woody_Allen",
"byteoffset": 11471,
"anchor": "My_Philosophy"
},
{
"toclevel": 2,
"level": "3",
"line": "<i>Everything You Always Wanted to Know About Sex* (*But Were Afraid to Ask)</i> (1972)",
"number": "1.2",
"index": "4",
"fromtitle": "Woody_Allen",
"byteoffset": 11814,
"anchor": "Everything_You_Always_Wanted_to_Know_About_Sex.2A_.28.2ABut_Were_Afraid_to_Ask.29_.281972.29"
},
{
"toclevel": 2,
"level": "3",
"line": "<i>Sleeper</i> (1973)",
"number": "1.3",
"index": "5",
"fromtitle": "Woody_Allen",
"byteoffset": 12364,
"anchor": "Sleeper_.281973.29"
},
{
"toclevel": 2,
"level": "3",
"line": "<i>Love and Death</i> (1975)",
"number": "1.4",
"index": "6",
"fromtitle": "Woody_Allen",
"byteoffset": 12858,
"anchor": "Love_and_Death_.281975.29"
},
{
"toclevel": 2,
"level": "3",
"line": "<i>Without Feathers</i> (1975)",
"number": "1.5",
"index": "7",
"fromtitle": "Woody_Allen",
"byteoffset": 14090,
"anchor": "Without_Feathers_.281975.29"
},
{
"toclevel": 2,
"level": "3",
"line": "<i>Annie Hall</i> (1977)",
"number": "1.6",
"index": "8",
"fromtitle": "Woody_Allen",
"byteoffset": 16485,
"anchor": "Annie_Hall_.281977.29"
},
{
"toclevel": 2,
"level": "3",
"line": "<i>Side Effects</i> (1980)",
"number": "1.7",
"index": "9",
"fromtitle": "Woody_Allen",
"byteoffset": 16899,
"anchor": "Side_Effects_.281980.29"
},
{
"toclevel": 3,
"level": "4",
"line": "My Apology",
"number": "1.7.1",
"index": "10",
"fromtitle": "Woody_Allen",
"byteoffset": 17529,
"anchor": "My_Apology"
},
{
"toclevel": 2,
"level": "3",
"line": "<i>Manhattan Murder Mystery</i> (1993)",
"number": "1.8",
"index": "11",
"fromtitle": "Woody_Allen",
"byteoffset": 18579,
"anchor": "Manhattan_Murder_Mystery_.281993.29"
},
{
"toclevel": 2,
"level": "3",
"line": "<i>Don't Drink the Water</i> (1994)",
"number": "1.9",
"index": "12",
"fromtitle": "Woody_Allen",
"byteoffset": 18960,
"anchor": "Don.27t_Drink_the_Water_.281994.29"
},
{
"toclevel": 2,
"level": "3",
"line": "<i>Deconstructing Harry</i> (1997)",
"number": "1.10",
"index": "13",
"fromtitle": "Woody_Allen",
"byteoffset": 19228,
"anchor": "Deconstructing_Harry_.281997.29"
},
{
"toclevel": 2,
"level": "3",
"line": "<i>Standup Comic</i> (1999)",
"number": "1.11",
"index": "14",
"fromtitle": "Woody_Allen",
"byteoffset": 21289,
"anchor": "Standup_Comic_.281999.29"
},
{
"toclevel": 2,
"level": "3",
"line": "<i>Mere Anarchy</i> (2007)",
"number": "1.12",
"index": "15",
"fromtitle": "Woody_Allen",
"byteoffset": 22463,
"anchor": "Mere_Anarchy_.282007.29"
},
{
"toclevel": 1,
"level": "2",
"line": "Attributed",
"number": "2",
"index": "16",
"fromtitle": "Woody_Allen",
"byteoffset": 24181,
"anchor": "Attributed"
},
{
"toclevel": 1,
"level": "2",
"line": "Others",
"number": "3",
"index": "17",
"fromtitle": "Woody_Allen",
"byteoffset": 25045,
"anchor": "Others"
},
{
"toclevel": 1,
"level": "2",
"line": "Quotes about Allen",
"number": "4",
"index": "18",
"fromtitle": "Woody_Allen",
"byteoffset": 27525,
"anchor": "Quotes_about_Allen"
},
{
"toclevel": 1,
"level": "2",
"line": "External links",
"number": "5",
"index": "19",
"fromtitle": "Woody_Allen",
"byteoffset": 29106,
"anchor": "External_links"
}
]
}
}