Valerie,
Protestant marriages were recorded as civil records from 1845-on, as well as being performed by ministers in local churches. So, there are TWO possible marriage records to find for any Protestant couple marrying from 1845-on: the civil record and church record.
All the Reid marriages you're researching in the 1850s-1860s will be in civil marriage registrations (or rather, should be. Sometimes they're missing!). Your first query indicates that you already have the full marriage records of several Reid ladies. I see in on-line indexes that these young ladies married at Aughnacloy Church of Ireland. Do you have copies of the civil records or the Aughnacloy church records? Both will have approximately the same information.
One way to identify a family group is to note the places of residence of bride or groom. Each of the brides would USUALLY be living in the parents' home, so the girls' residence at time of marriage will be the same if the girls were siblings. This is the TOWNLAND or village name, within the parish. Were the girls: Elizabeth Reid who married in 1854, and Anne Reid who married in 1865, from the same townland?
Civil registration indexes are on several web sites, including irishgenealogy.ie, LDS Family Search, and Ancestry.com. You can order (pay to view) original handwriteen copies of these records on the GRONI web site (General Register Office of Northern Ireland).
https://www.nidirect.gov.uk/services/go-groni-online
I've researched several Reid families in County Tyrone, though not the one you're researching. I've also researched BEAVERS, and I do have some data on Ann(e) Reid and Robinson Beavers. They lived at Loughans townland in Carnteel parish, where they were counted in the 1901 and 1911 censuses. Robinson died in 1913, and his wife Ann died in 1933.
Robinson's will directed that a headstone be erected in Eglish Presbyterian Church graveyard. I took a photograph of it in 2007, a tall, upright tablet marker. The inscription is:
Erected by Ann Beavers,
in memory of her husband,
Robinson Beavers,
Loughans,
Who died March 27th, 1913,
Aged 71 years.
The above Ann Beavers,
Died Dec. 28th, 1933,
Aged 92 years.
Robinson Beavers
Died Jan. 15th, 1965.
His wife Maud
Died Jan. 4th, 1981.
I have more on the BEAVERS family if it will help you.
Regards,
Annie