I want to have lolth be my patron for a campaign.  But my character is a moon elf. Any suggestions  on how to make it work out? I was kinda thinking of going for a home brew version of lolth and have her just want the strongest and greatest elves under her domain. Or If my character have drow elf parentage. Any suggestions on how to make this happen? 

Warlock and patron do not have to be allies or friends. The moon elf might have been forced to accept the pact, perhaps to save someone or something.

I agree with filcat.  I've always thought that Ghost Rider is a great example of a warlock and he's definitely not allied with his patron!

Her multileggedness is rather brutal. A willing servant will probably be brutal as well. If you want to play a warlock of a differing outlook to that then you could have a background where a drow breeding program succeeded in raising children to be indoctrinated into the spider church and to become sleeper agents where the sun burns at the drows eyes. Your character broke her vow of blood and pain to the church but that broken vow, much like a geas made her marked as of the spider goddess. Whatever she does with her "gifted" magic, even or especially if she is accepted by other elves it spreads the message of the spider goddess power... and when she dies? The warlocks eternal torment will be food for the brood of the spiderweb pits.

Lolth worship is matriarchal to the extreme - women are ascendent, men are slaves, toys or amusements. Lolth worship unfortunately involves torture and feeding people to spiders and fiends (and fiendish spiders) for amusement. A male warlock of Lolth under the circumstance is more of a challenge to conceive of. Perhaps a totally messed up experiment to determine what would happen if a surface elf underwent the test of lolth. (a congratulations your an adult heres a magical and physical loyalty endurance test, pass, yay your a drow! fail = death or become a drider usually) The result might be a horrible mark of the spider queen and horrifying powers that will only grow in time.. and that insidious whispering.

I am playing a Tiefling Warlock with Lolth as his Patron.  He was raised as a slave by the Dugar and was freed in a raid by a Drow Raiding Party, so in thanks for his freedom he agreed to a accept a pack with Lolth.  Something like that could work for any race. 

Some pacts can be unknowing and accidental: pick up the wrong artifact, read the wrong rite aloud, be in the wrong place at the wrong time. Might be a good angle to play. Really depends what kind of backstory you want your character to have.

First a player should ask the DM if the Warlock can have Lolth as Otherwordly Patron because it is said to not be gods specifically.  

Otherwordly Patron: The beings that serve as patrons for warlocks are mighty inhabitants of other planes of existence — not gods, but almost godlike in their power.

If allowed, it could have been tricked into a deal with Lolth knowingly or not if the entity was not known to him. Some patrons like to bind mortals to their will and Lolth certainy is.

wIf you are not sure about diety of Drow vs Moon Elf, You could look into the early origins manifestation of Lolth and take as Otherwordly Patron Araushnee the Weaver, patron of artisans and goddess of elven destiny. Here's what the AD&D 2nd Edition Demihuman Deities had for Lolth;

By Corellon Larethian's decree, the destiny of the dark elves was placed long ago in the hands of his consort, Araushnee the Weaver. At that time she was a minor, but secretly ambitious, elven power and member of the Seldarine. After a series of betrayals of her fellow gods, Araushnee was banished to the Abyss by Corellon for plotting against her lover and for secretly assembling a host of evil deities-the anti-Seldarine-to assault Arvandor, home of the Seldarine, in a bid to replace Corellon as Coronal of Arvandor. After her banishment, Araushnee assumed the name Lolth, Demon Queen of Spiders. She set about establishing her new realm in the Abyss. As an Abyssal Lord, Araushnee assumed the name Lolth and conquered a considerable portion of that foul plane, driving off Ghaunadaur and subjugating Kiaransalee in the process

She was the patron of artisans, the goddess of elven destiny, and-later, by Corellon's decree-the keeper of those elves who shared her darkly beautiful features. 

Lolth is a weird instance of whether or not she counts as a deity, since she's also a Demon Prince. Like Tiamat, she's in that weird space where she kinda fits as a Fiend Patron or a classic Cleric's deity.

I had a half-drow multi-class Warlock/Wizard, who's mother made a Warlock fiend pact to escape slavery, not knowing she was pregnant....he had the Fiend pact from birth without actually having a patron himself.

It was a workaround to not being beholden to any entity.