You asked -
> Am looking for Henrietta Conley who reputedly ended up in a Catholic convent.
Have you found her in the 1871 or 1881 UK Census? That may help. You also asked -
> Does anyone know of any convents in manchester around 1865 to 1881, specifically near Mount Street?
The Catholic Directory (UK) has been published annually for almost 200 years and looking a a few between 1865 and 1885 shows the following convents existing at some time during that period, and vaguely near Mount Street -
Faithful Companions of Jesus, Adelphi House, Cescent, Salford; 130 Upper Brook Street, Manchester; [St Mary mission], Manchester
Ibstitute of the BVM[ Loretto, Upper Moss Lane, Hulme
Presentation Sisters. Livesey Street, Manchester
Holy Family Sisters, (later known as Cross and Passion Sisters), 31 Byrom Sreet, Manchester
Notre Dame Sisters, Stocks Street, Cheetham
Bon-Secours Sisters, 1 Adelphi Terrace, Salford
Of these convents only the Presentation Convent in Livesey Street survives. The FCJs had a house 'close' to St Mary (the Hidden Gem) but only for a short time at the beginning of your period of interest. The Holy Family sisters had their name changed to the Cross and Passion sisters as their order grew. They occupied 31 Byrom Street for the whole of the period you seek. All the others listed are further away from Mount Street.
When convents close or move, it is often necessary to consider what needs to taken and what needs to be lost. Until about 50 years ago, and sometimes to much more recent times, old records that were not relevant to the operation of the order or to its history were not retained. Most orders of nuns had large premises 50 years ago and as our educational, child carer and social care provision has changed radically in recent years most of the premises have been demolished and the storage space has been lost. However, in spite of my negative comments, it would be wise to write to -
The Provincial Archivist
c/o The Convent
You would need to explain clearly what you seek and ask for their help and advice.
Hope this helps
Jim Lancaster (Bury, Lancs.)