"Jack received his first telling him he had a sister born in 1998 which resulted in me requesting mine.
"Today we found out we have the same sperm donor so we are genuinely brother and sister after all.
"Happiest person ever right now, to all those who are IVF, request your details. Miracles can happen."
The post was retweeted 17,000 times on Twitter.
The pair were able to access the information through the Human Fertilisation and Embryology Authority.
The organisation holds birth information for everyone conceived from a fertilisation clinic from August 1 1991.
But as there is no central place to store the information, people who want to find out about their birth parents would have to contact the clinic where their parents visited.