I think Talisa is better and I know a girl called Tarisha pronounced TA-REE_SHA but I never heard of Talisha and I don't know if I like it. I think Alisha is nice enough without the T.
What sort of a prefix is ''Ta'' anyway? Sounds like the mispronunciation of 'the', which would go appropriately with the sarcastically used 'teh', as in when people talk about ''catching teh gay''. So, this name is like ''Teh Lisha'', and we all know that Lisha is a fairly minimalist ghetto name. Draw your conclusions from that.