LG Gelato Q, Optimus II and whatever the name pulled by several mobile rumors in the wild, and we can focus to one codename possibly for that things, LG VS700, that mentioned has been just cleared FCC with Verizon bands.
The Gelato Q mentioned visits FCC with CDMA network and got clereance for CDMA 850 and 1900 MHZ frequency. Rumors also said that LG Gelato Q will ship with latest version of Android Operating System, Ice Cream Sandwich, based on the name of "Gelato" in Italian is "Ice Cream".
Meanwhile, LG Gelato (without Q) in July 2011, rumored to contain the NFC chipset and Andrid 2.3 Gingerbread, and may be slid along the T-Mobile by using the name "LG Optimus Net". This one might be different is Gelato Q (possibly Verizon), since this may be a GSM version of the same product and using a different codename, LG P690.
