I have very little information of the other two Orders, as I am not a member in these. These are Christian Orders and open only to those who believe in the Christian Trinity. Very briefly – the Rose Croix is of the Princes of Rose Croix of Heredom of Ancient and Accepted Rite for England and Wales. There are three Chapters operating in India, one in Calcutta, one in Bombay and one in Pune.
The Order of the Roman Eagle is a Masonic and Military Order of the Red Cross of Constantine, and the Appendant Orders of the Holy Sepulchre and of St. John the Evangelist, acting under the Authority of the Grand Imperial Conclave in London. Till recently, there was only one Conclave operating outside Europe in Bombay, but last year one was consecrated in Thailand.
Regular Freemasonry in India is an all-male affair. There are none of the Appendant bodies admitting ladies operating in India. There are however other organizations, purporting to be Masonic, which admit ladies. The regular Masonic bodies do not have any connections with them, and would like to believe that they do not exist.