Brother Riviera 1781 Manual
I suspect that the left needle position is the default for your machine. Looking at the photo here, it certainly looks like that is the case.
(What a nice looking machine!) If you watch this video during the straight-stitch segment, you will see the needle is in the left position. Some of the older machines were made this way--I have an old Nelco that is left default--tough machine, sews almost anything! Unfortunately, if you want a center-needle machine, you would have to buy something else. (Forget about any of the new plastic machines on the market. This Brother will out-sew and outlast them any day of the week.) On the other hand, this is probably a great machine, and once you get accustomed to the left needle, you'll be able to do anything that a center needle machine can do.
Brother-CX90-User-Guide Brother-CX90-User-GuideDelivery by instant download. ManualAgent has 2685 Brother manuals covering 2133 models. Popular Categories: Sewing Machine Home Sewing Machines & Embroidery Machines Typewriter Printers Appliances All-in-One & Multi-Function Misc Electronics All in One Printer Answering Machine.
FWIW, a sewing machine whose bobbin loads on the left is usually left needle default. Manual: http://www.sewingshop.com/1681MANUALPDF.aspx. Avery 05408 template.