此の kono is this; 父 chichi is father; にして ni shite is being such, given such a father; 娘 musume is daughter; 有り ari is there is: given this father, there is this daughter. The proverb behind it, この父にしてこの子あり, is Confucian, from the 孔叢子, where with such a father there is such a son, the constant way of things; Japanese has said it since Bakin's 椿説弓張月 of 1807, as admiration, a child worthy of a fine parent; the blame sense that the English also allows is dated 1965 and marked a misuse.
The proverb's 子 is a child of either sex, and Master Takase brushed the line with 娘, daughter, in its place, so that it is a daughter who is her father's equal.
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