There is a stotram called Narayaneeyam composed by Narayana Bhattadhiri; anyone can recite that, as it falls under the category of a Stotra. However, there is also a Narayaneeyam in the Mahabharata, and there is the Sankshepa Ramayanam. Since these are part of the Itihasas (epics), it was not the ancient custom for women to recite them. However, in modern times, this practice has emerged.