。
Apparently, she used to be rich.
Literal
She [topic-は] long-ago rich was [apparently-らしい].
~らしい at the end of a sentence expresses inference based on indirect evidence — 'apparently,' 'it seems.' Here it attaches to the past formal copula であった (a literary past form of である): she reportedly used to be wealthy. 昔 (むかし) means 'long ago' or 'in the past.' Don't confuse this evidential ~らしい with the adjective-forming suffix ~らしい (as in 女らしい 'womanly').