Does the suckling of a menopausal woman who produces milk after the death of her husband have an effect on an infant?

The prohibition [of marriage due to fosterage] is established by breastfeeding if milk is produced by a woman and she breastfeeds a child with it, regardless of whether she is young or old, married or unmarried. For fosterage to be proscribed, the child must be breastfed five times within two years [of birth], and what issues from the woman must be nourishing milk, based on the Prophet's (peace be upon him) saying: "There is no fosterage except what strengthens the bone and grows flesh." However, if water rather than milk issues from her, it does not affect the prohibition.