Hello Karen
Virtually every Parish with Tithable Lands (fields/property) had a Tithe Survey Map [but not all].
Some lands may have already been commuted apparently, or subject to other Agreement, bit more about this here. Yes, TNA is not east to begin with.
http://www.nationalarchives.gov.uk/help-with-your-research/research-guides/tithes/You mentioned Saddleworth (have a go at this search please, to make you more familiar with searching TNA Discovery Advanced Search), but I have done a search and also put the link to it, with the results you should also get.
In TNA, Kew, advance search page (next link) complete only the following boxes, without commas:-
Exact word or phrase type Saddleworth
Any of these references (this use to be known as the Record Series) most Tithe records are in "IR" or "TITH" (which you will find in the research guides), to keep it easy just use the first box (of three boxes) and type in "IR"
Dates type in from and to dates ... from say, "1836" to "1850"
Scroll down and click to highlight (light up) the small circle against
Search the National ArchivesThen click
Search ...
Advanced Search here ...
http://discovery.nationalarchives.gov.uk/advanced-searchHopefully you should get the same results here ...
http://discovery.nationalarchives.gov.uk/results/r?_st=adv&_ep=Saddleworth&_cr1=IR&_dss=range&_sd=1836&_ed=1850&_ro=any&_hb=tnaThe Tithe files in IR 18 result description, appear to indicate Saddleworth, comes under Rochdale Parish, I am not familar with Yorkshire or the Tithe survey area in question. So you can try Rochdale in the Exact word box too.
The results seem to suggest their are some Apportionments, for some parts?
Generally, some are only listed by Parish name, but I know from others maps, there are other places (within the Parish) on some Parish maps. Research is awkward, you never know until you see the document, whether it will help you or not.
TNA, Cat refs beginning IR 29 = Tithe Apportionments, but these are no good without the numbered Tithe Map, if you want to know the property situation.
TNA, Cat refs beginning IR 30 = Tithe Maps.
There are some items in the "TITH" references "TITH 1" and "TITH 2", you could repeat the above search with "TITH" and see if possible maps might be mentioned?
If you can find another family member / executor residing at the property in the 1841 Census, note down the neighbours names either side in the 1841 Census AND any farm names, property name and any property description in a Will, as that might just help you to identify/confirm the property / fields in the Tithe Map and Apportionment, a few years later (even though it might have a new owner/occupier).
Don't forget to take your proof of ID ... Passport / Photo Driving Licence and two recent printed formal notifications with both your name and address on:- bank statement, C/Tax, tax notice, phone bill, that you received by post etc., (not junk mail), which include both your name and current address, to get a TNA "Readers Ticket".
Any documents on 3 days notice, will need to be advanced ordered.
Never tried it, but during Office hours, I noticed a Live Chat, button to ask small questions, but you email or ring.
CARN Ticket is NO GOOD at TNA, Kew.
You'll need a TNA 'Readers Ticket' ID Card, to see these documents (keep it safe, they usually last several years).
Kind regards Mark
EDIT: before chasing all over the place, our Library Local Studies section has a b & w Photostat copy of our 1842 Map of the Tithable Lands, have you tried the Main Library with a Local History Dept for that place?
Generally, anyone getting a Map or Plan, extract copy / taking a photo, should also get the formal Title of the map and Date exactly, because Tithe Maps, Enclosure Maps and Maps were made at different dates for the same place, sometimes under different agreements or for different reasons, which may have related information such as Acts of Parliament, Schedules, Apportionment or Particulars elsewhere.
EDIT 2: It seems some Apportionment Schedules (in IR 29) are showing, according to the Cat. ref's., so you could email and ask whether there is an online search issue, if you cannot find the corresponding map, Catalogue references, which should be free to enquire, (some items are in the paper indexes and on discovery, but don't always show on a search).