[Coda]

"Robert" means "fame" (rob) + "bright" (bert). Etymologically it could also be related to "glory."

"Roberta" is on the list as "Calminaiel." I'm a little dubious of the derivation, but it works if you're not trying to push your way into a die-hard Tolkien convention. (It says it means "bright distinction" but the structure of the word sounds more like "distinctive light".)

The other site lists "Alcarcalime" as the translation of "Roberta", breaking it down into "alcar" glory/brilliance and "calima" light and then inflecting it as a feminine name.

I'd go for "Alcare" if your name is derived from the "rob" part of "Robert". If it's derived from the "bert" part, there's a whole bunch of possible choices you could go for -- stuff derived from "light" (Calie, Calme, Calde, Calien, Calmea, Caldea) or "bright" (Calima, Calime, Calimie) would all be appropriate.

If you like the "glory" way of going about it, "Gloria" is "Aglariel" on one list and "Alcare" (pronounced "al-CAH-ray" if I'm not mistaken) on the other.