Your mother definitely owes yourher brother something. Whether it is legally collectible after all this time, I can't say.
Presumably she has deposited, and continues to deposit, the dividends, so the place to start the research is in her current and old records of bank deposits. Also, if the dividends are still coming in, even if she doesn't keep old bank records, she has current data coming in with her current mail.
If you know the name of the original company, a broker could trace splits, prices and dividends. You also need to know how the original purchase was split between your brotheruncle and your mother, and how much, if anything, your mother bought for herself after the original purchase.
You can start the long overdue process of making restitution to your uncle by splitting the dividends as they come in now, either in proportion to his and your mother's original investment, or, possibly you may want to start on repaying him, with interest, for the 50 years of his share of dividends he has not received.