I like it. It's rare and would be a nice alternative to
Lucy or even Lucinda...however for usage in the modern day one should call her
Lucy for short.
Now, there was a song by some group back in 1969 with the name of Lucretia...can't remember it...not the best song, but it was cool that they used the name.
Ah, yes!
Lucretia McEvil, by Blood, Sweat, and Tears.