thanks for using health care magic.
if done effectively is a good method of a definitive birth control method with less than 1 pregnancy
occurring within the first year after the ligation. The brownish discharge could be old blood or it could be an infected blood implying you probably have an infection.
Pregnancy is less likely, however, if you do fall pregnant, there are high chances of having an ectopic pregnancy due to the history of tubal ligation. So, you should get a pregnancy test done, if its positive immediatel meet your doctor for ultrasound
, if negative you will need detail evaluation and vaginal smear tests to rule out infection,
Best regards and hope this helps you.