thank you for the PM, I tried sending you the text below but your mail address was rejected
I have no connection to any Taylor family, I just reply to other people queries
You mention the Harr last name use in Ireland. An enumerator might well have transcribed it as ... eg Hare
anyway I had a brief look around
 1901 census see 
http://www.census.nationalarchives.ie/pages/1901/Armagh/Armagh_Town/Mall/1009906/4 in Mall (Armagh Town, Armagh)
Harr     Isabella  56        Female Head of Family Church of Ireland        Armagh City   No Occupation Read and write  - Not Married -
Harr     Robert 54        Male    Brother  Church of Ireland        Armagh City   No Occupation Read and write  - Not Married    -
Harr     Margaret         34        Female Sister   Church of Ireland        Armagh City   No Occupation Read and write  - Not Married    -
Tighe   William  28        Male    Boarder Methodist       Dublin City     Cashier  Read and write  - Not Married    -
90 in Great Victoria Street (Windsor Ward, Antrim) [Belfast]
O' Harr  Ellen    29        Female Servant  R Catholic       Lisburn  General Domestic Servant      Can read          English  Not Married
in service with Surgeon AA Philip
 9 in Crean (Monagay, Limerick)
Harr     Margaret         70        Female Head of Family Roman Catholic          Co Limerick    Farmer Cannot read     Irish and English         Widow  -
Harr     Patrick 31        Male    Son      Roman Catholic          Co Limerick    Farmers Son    Read and write  - Not Married    -
I didn’t check 1911 census
Street directories no Harr found at found at lennonwylie or PRONI that’s strange
Griffiths valuation None found
The Tithe Applotment Books 1823-1837 tithes for the 6 counties see Ireland Genealogy Hub 
None found .possible spellings found Hara, Hare, Harra .  Ask me if you want my index list
The Tithe Applotment Books 1823-1837 tithes for the 26 counties ie Republic of Ireland just tried one spelling see 
http://titheapplotmentbooks.nationalarchives.ie/search/tab/home.jspHarr    Steph  Cloughprior   Cloghprior      Tipperary       1825
Harr    John And Partn         Goagalane      Finnoe  Tipperary       1826
Harr    John    Butterstown   Lislee  Cork    1833
1796 flax growers of Ireland None found 
The Ulster Historical Foundation 
www.ancestryireland,com
Births in the first 500 entries
Harr entries are muddled with numerous other names starting with Harr
Births
ELIZABETH    HARR  1846   father ISAIAH  Antrim 
JAMES HARR  1846   father ISAIAH  Antrim
Marriages  in the first 500 entries only
No  Harr  found. The entries cover all names starting with Harr so difficult to search 
Death/Burials in the first 500 entries only
No  Harr  found. The entries cover all names starting with Harr so difficult to sea 
tried PRONI Public Record Office for Northern Ireland
tried PRONI Wills Harr none
ecatalogue (2) 1 a red herring, the other
PRONI Reference :    D1514/1/2/9
Title :  Letter from Harr. Balfour, Sandfield to ...Dates : 29 January 1788
Description :  Letter from Harr. Balfour, Sandfield to Lord [Bristol] concerning plans for the construction on a road through Magilligan and the difficulty in contracting Mr McCool, a surveyor. 'We have lost an excellent opportunity of having the road surveyed during the frost, and we cannot afford to lose any more time ...'. He suggests that a local surveyor, John Bailey, should do the job.
PRONI freeholders  Harr none
PRONI Names  Harr none
PRONI Ulster Covenant 1912 this was a major movement which later formed Northern Ireland
Harr    James  Normanville   Armagh: Mid. Armagh          Armagh          Not Recorded Signature Folder
Harr    Mary   82 Beechfield Street Belfast: East   Pottinger        Westbourne Presbyterian Church  Kimmett, F : Miss       Signature Folder
I see you are a contributor on wikitree for Harr 
I subscribe to only one website Genes Reunited 
https://www.GenesReunited.co.uk/search/results?sourcecategory=censusutf002c%20land%20utf0026%20surveys&lastname=harr&keyword=irelandwhich has 18 references for Harr b in Ireland 
I don’t think I can help further on the Taylor line
good luck onwards