My battery current calculation was wrong because the rechargeable battery is 3.7V but I calculated for a 9V battery.
If the EL panel draws 140mA at 12V but a 3.7V battery is used and has a voltage booster, then the input current to the booster is 12/3.7=3.24 times more at 454mA. The efficiency of the booster is only 80% so the 3.7V battery must produce 454 /80%= 568mA. The battery current will increase as the battery voltage runs down. A charge in the 2000mAh battery will last 2000/568= 3.5 hours if the battery specs are truthful.
All my Li-PO batteries have a "C" max current rating and are sold by a reputable US company, but the Chinese battery from SparkFun does not have a max current rating (missing in the translation?).