Keep taking cuttings and grow them (in a window is fine). Just give them bright light (but no direct sunlight), keep moderately dry between waterings and use a diluted fertilizer every 14 days. They do not form tubers.

It would help tremendously if you could post a picture so we could help you figure out what kind of begonia you have. There are many kinds. It seems pretty clear that you don't have one of the tuberous types, like Reigers, but it would be interesting to find out just what you do have. If you can't post a picture (I can't!) you might enjoy going to the website of the American Begonia Society and looking at pictures to see if you can spot yours. Then we can give you more specific advise, tho' that given above is very good.

Rieger begonias are strictly a fibrous type begonia , which does not develope bulbs or tubers , and if given bright light they can flower nearly yearound , and even indoors through the winter, if they're in a bright warm place. If the leaves are pale they're not getting enough light and sometimes the leaves will also be pale if they're allowed to get too dry constantly, and they must be kept moist at all times, as they hate getting too dry. They're sometimes called "Christmas Begonias" as they can flower well indoors right at Christmas time, and for more info look them up under the botanical name of Begonia X hiemalis. They have shiny mid to dark green leaves that are assymetrical in shape and sometimes similar to those of angel winged begonias, and single to double flowers larger than wax begonias but smaller than tuberous ones, and are very colorful.

I got three responses and Thank You,all of you . I think between all of us I can care for this plant. I can't give you a picture but from the input you gave me, I'm quite sure its a Reiger Begonia and similar to a house plant.
Thanks Again, Nancy