Jan,
Although on skimming, I cannot see any reference to the Patridges, as most of the records appear to relate to pre-1820, the following may be of interest as background information in relation to their early years in the United States:
The History of Brown County, Ohio (1883)
https://archive.org/details/bub_gb_udUyAQAAMAAJ/page/n449/mode/2up
Perry Township starts on page 475 (page 450 of 976 on scanned pages)
Starting back in Ireland, I found the full marriage and baptismal records of your ancestral family in the Ardagh & Moydow Registers, County Longford, Ireland as follows:
Married 01 February 1795
https://registers.nli.ie/registers/vtls000632362#page/105/mode/1up
Peter Petridge and Honor Fitzpatrick
witnesses: Edmond Petridge and Patrick Oats
Baptised 15 April 1796
https://registers.nli.ie/registers/vtls000632362#page/12/mode/1up
Mary, daughter of Peter Petridge and Honor Fitzpatrick
sponsors: Darby Ferrall (Farrell) and Mary Syry (Seery?)
Baptised 27 February 1798
https://registers.nli.ie/registers/vtls000632362#page/18/mode/1up
Patrick, son of Peter Petridge and Honor Fitzpatrick
sponsors: Andrew Keena and Margaret Lyons
Baptised 23 August 1800
https://registers.nli.ie/registers/vtls000632362#page/27/mode/1up
Honor, daughter of Peter Petridge and Honor Fitzpatrick
sponsors: Thomas Burke? and Catharine Ward
Baptised 29 April 1803
https://registers.nli.ie/registers/vtls000632362#page/33/mode/1up
Peter, son of Peter Petrege and Mary (presumably Honor) Fitzpatrick
sponsors: Daniel Petridge and Ann Syry (Seery?)
Baptised 04 February 1806
https://registers.nli.ie/registers/vtls000632362#page/41/mode/1up
Bridget, daughter of Peter Petridge and Honor Fitzpatrick
sponsors Thomas Duffy and Elizabeth Fitzpatrick
Based on the above information, I see potential connected families in the Ardagh and Moydow Parish records as follows:
Baptised 19 May 1793
https://registers.nli.ie/registers/vtls000632362#page/5/mode/1up
Denis, son of James Mahon and Bridget Victory
sponsors: Peter Petridge and Catheine Victory
[This could be Peter Patridge who married Honor Fitzpatrick]
Baptised 03 December 1794
https://registers.nli.ie/registers/vtls000632362#page/8/mode/1up
Ann, daughter of Patrick McLoughlin and Mary Petridge
sponsors: Connor McGrath and Honor Fitzpatrick
[This could be Honor Fitzpatrick Petridge]
In relation to Andrew Keena, sponsor for Patrick Petridge (above) in 1798, I see the following marriage:
Married 08 July 1797
https://registers.nli.ie/registers/vtls000632362#page/108/mode/1up
Andrew Keena and Margaret Fitzpatrick
witnesses: John Keena and Connor McGrath
[Margaret Fitzpatrick could have been a sister, or close relative of Honor Fitzpatrick Patridge]
[Connor McGrath was also a sponsor for Ann McLoughlin in 1794, daughter of Mary Petridge McLoughlin above]
Elizabeth Fitzpatrick, sponsor for Bridget Petridge (above) in 1806, could have been another sister, or close relative of Honor Fitzpatrick's.
Daniel Petridge, sponsor for Peter Petridge jun. (above) in 1803, could have been a brother, or close relative of Peter Petridge sen.
Edmond Petridge, witness at Peter Petridge and Honor Fitzpatrick's marriage in 1795, could have been a brother, or close relative of Peter Petridge.
I see three children baptised to Edmond Petridge and Elizabeth Syry (Seery?), namely:
Mary Petridge (30 December 1794), Honora Petridge (26 May 1797) and Edmond Petridge jun. (26 December 1798).
Mary Syry is recorded as a sponsor for Mary Petridge in 1796 (above) and Ann Syry is recorded as a sponsor for Peter Petrege in 1803 (above) and so they could be sisters, or close relatives of Elizabeth Syry.
Interestingly, Patrick Oats is listed as a sponsor for Honora Petridge in 1797, and is probably the same Patrick Oats who is recorded as a witness to Peter Petridge's marriage in 1795.
I see four baptisms to children of Patrick Oats and Honor Petridge as follows:
Mary (01 September 1793), Patrick (12 March 1804), Patrick (14 August 1805) and Bridget (24 February 1810)
[Honor Petridge Oats could have been a sister, or other close relative of Peter Patridge.]
Married 02 March 1824
https://registers.nli.ie/registers/vtls000632362#page/124/mode/1up
Patrick Patridge and Ellen McCormick
witnesses: Mick Callaghan and Owen McCormick
There could have been baptisms prior to 12 February 1793, when the Ardagh and Moydow Parish Baptismal records commence.
At the time of the Tithe Applotment Books, I see the following Petridges recorded, all in Ardagh Parish, County Longford:
(Areas in Irish Acres, 1 Irish Acre = approximately 1.62 Statute Acres)
1825 - Daniel Patridge
Barneygole Townland, 10 Acres - 3 Roods - 0 Perches, Owner: The Bishop of Ardagh
http://titheapplotmentbooks.nationalarchives.ie/reels/tab//004587398/004587398_00084.pdf
1825 - James Patridge and Daniel Patridge, Widow Patridge, James McGrath & John McLoughlin
Keeloges Townland, 31 Acres - 0 Roods - 0 Perches, Owner: The Primate / Edward O'Farrel Esq. - Tenant / John? O'Farrell
http://titheapplotmentbooks.nationalarchives.ie/reels/tab//004587398/004587398_00091.pdf
1825 - Dennis Kane and William Patridge / Dennis Kane and William Patridge including W. Patridge's
Lissanisky Townland, 20 Acres - 01 Roods - 36 Perches, Owner: The Dean of Ardagh / Sir George R. Fetherston, Baronet - Tenant
http://titheapplotmentbooks.nationalarchives.ie/reels/tab//004587398/004587398_00112.pdf
At the time of Griffith's Primary Valuation in 1854, I see the following recorded in Ardagh and Moydow Parish, County Longford:
1854 - John Partridge, Keeloges Townland, 4Ab-5A-5B, House-Land-Offices, 14 Acres - 0 Roods - 01 Perches
1854 - DanielPartridge, Keeloges Townland, 4Ac-6, House-Land-Office, 07 Acres - 0 Roods - 31 Perches
[Areas in Statute Acres]
[John Lewis O'Farrell was the Immediate Lessor of the land]
https://www.dib.ie/biography/oferrall-john-lewis-more-a6743
Sir George Ralph Fetherston, Baronet owned Ardagh House, Ardagh Village, Ardagh Demesne and was the Immediate Lessor of 5,364 Acres in County Longford at the time of Griffiths Primary Valuation in 1854. The Village was remodelled around the 1850s.
Oliver Goldsmith (1728 - 1774) based his 1771 play 'She Stoops to Conquer' on a visit he made to Ardagh House, the residence of the Fetherston family.
Ardagh Village is a three-time Tidy Towns National Overall winner.
Links to websites which may be of interest:
https://en.wikipedia.org/wiki/Ardagh,_County_Longford
https://www.libraryireland.com/topog/A/Ardagh-Ardagh-Longford.php
https://en.wikipedia.org/wiki/Oliver_Goldsmith
https://en.wikipedia.org/wiki/Cathedral_of_Saint_Mel_in_Ardagh
Edgeworthstown, where I was born, is the next nearest Town to Ardagh Village, and was the seat of the Edgeworth Family. Maria Edgeworth (1768 - 1849), Novelist and prolific writer, lived there most of her life.
https://en.wikipedia.org/wiki/Maria_Edgeworth
https://en.wikipedia.org/wiki/Edgeworthstown