I wouldn't use
Jade because I've always associated it with something altered in a negative way, "one's become jaded" "jaded point of view" and things like that. I like
Jade as a color or gem, but the other association is too much for me to use it as a name.
But associations can alter anyone's opinion of a name. For example, I don't like
Erica or
Rich, for no good reason other than that people I do not care for also bear those names.
If your mum has a strong, positive association with
Jade (which she must because she has you), then I see no reason to worry.
I'd probably consider
Jade usable if my first thought was of the gem, like it is with
Opal or
Ruby.