I'm going to do something I hardly ever do, disagree with Sourland. Sourland, I still respect my elders, but in this case I respectfully disagree. That stuff about the ear lobes is sort of a general guideline, but it is not always true.
The way the egg color genetics work, the base egg color is either white or blue. There is no question, it is one or the other. In your case it is white. You can look under that membrane on the inside of the egg shell to see the base color or you can scratch the brown or green off.
There are a lot of genes that control brown, at least 13 different genes. Those can go together in a whole lot of different ways; that's why you can get so many different shades. You can think of the brown as something that goes on top of the base color. If the brown goes on a blue base egg, you get some shade of green. If the brown goes on a white base egg you get a brown egg. If there is no brown, you get either a blue or white egg.
Since the egg the chicken hatched from was white, the chick will get no brown genes from its mother. But the issue is what color egg did the rooster hatch out of. If it was white, then the chick will lay a white egg.
But if the egg the rooster hatched from was brown, the chick will probably lay a brown egg. What shade of brown depends on what genes the father contributed to the genetics. It can certainly be lighter than the egg he came from, but not necessarily so. And you can come up with a genetic sequence where the chick would lay a white egg but that would be pretty rare.