I've transfered text messages from my LG to my laptop lots of times. You need LG Optimus to do it. It can be downloaded free from the LG website. Then use a USB cable to connect your mobile to your pc. Once its connected, from the tool click on messages. Then after all your texts have loaded you can copy them into your pc documents. Hope that helped :)
You can try MobiKin Assistant program, which can transfer sms from android computer.