Eggs are produced in

The egg cells, known as ova or oocytes, are produced by the ovaries in the form of secondary oocytes.

The oocytes are subsequently transferred to the ampullary isthmic junction of the fallopian tube, where they may be by sperm.

The egg is subsequently transferred to the uterus, where the uterine endometrium lining has grown in response to the reproductive cycle's hormones.

The egg gets implanted into the thicker uterine endometrium lining and continues to develop once inside the uterus. The uterine endometrium lining is shed off as menstrual flow if implantation does not occur.

The female reproductive system also produces female sex hormones, i.e. estrogen which help to keep the reproductive cycle going.

Hence the correct answer is option A i.e., ovary.