Is there a service like localbitcoins.com for Litecoin? At the moment, I use localbitcoins.com to find people to buy bitcoins from who have bank accounts so I don't have to fund an online wallet before I can buy.  In order to sell bitcoins, yes the online wallet needs to be funded with bitcoins and that is fine.

Does such a service exist for litecoins too?  So I can find people in my chosen country to buy from, so I can transfer money to their bank account without having to find an online wallet first with money.  I would understand that if I wanted to sell litecoins, the online wallet would need litecoin funds available first.
https://www.litecoinlocal.net/ is the site you are looking for