This thread just keeps on giving.
My wife's RX300 started throwing CEL codes: P1349; P0300; P0301; P0303 and P0305. I read through this thread, ordered a genuine Toyota VVT sensor on Amazon for $70 and now it is running like a top.
My thanks to everyone who has posted an idea here and especially to Joseph G for the part numbers and blk_on_blk for the images. The information is invaluable.
jj