Its different, but if the ring your mother gave you is special to you and looks good with your Ering and wedding ring I wouldn't think it would matter. Plus its not like everyone has to know its from your mother.
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I would wear it on my right hand, personally. I'm pretty minimalistic when it comes to accessories and jewelry though. I definitely wouldn't wear it on the same finger as my e-ring and wedding band.
Re: is this weird?