Some Parsons census info.:
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1830 census info:
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Parsons, Hannah, Columbia, Bradford, PA
........
Hanna Parsons, 1(M 20-->30), 
               2(F < 5), 1(F 10-->15), 1(F 15-->20), 1(F 40-->50)

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1840 census info:
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Parsons, Allen S, Columbia, Bradford, PA
Roll: M704_443
Page: 286
Image: 210
.........
Allen S. Parsons, 2 males (< 5),  1 males (20 --> 30),  
                  1 females (10 --> 15),   3 females (20 --> 30) 

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1850 census info:
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Emma E Parsons, est. dob: 1843 in PA, 
Columbia, Bradford, PA was home in 1850
page: 370, Roll: M432_757

[Image is damaged or missing -- Ancestory.com is trying to fix the problem]
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Mandana Parsons, F, age=36, est. yr. Born=1813, Columbia, Bradford, PA
page: 370
Roll: M432_757
.........

Allen S  Parsons, M, age=39, est.Yr Born=1810, Columbia, Bradford, PA
page: 370
Roll: M432_757

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1860 census info:
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Emma Parsons, age=16, born in PA, Columbia, Bradford, PA was home in 1860
P.O.: Sylvania
Head of Household = Allen S Parsons
Allen S Parsons, age=49, farmer, 12000, 3000, PA
Mandana, Age= 46, PA
Emma, 16, PA
Ella, 11, PA
Samual, 10 PA
?Chas?, 9 (M), PA
?Mary?, 8 (F), PA
?Hannah?, 3 (F), PA
?Norman Carlburt?, 16 (M), farm laborer, PA
*************NEXT LISTING: 
E. ?C?. parsons, (head of house), 25, Farmer, 4000, ?1000?, PA
Amanda, Age=24, PA
Ira, 1, PA
George Baker, 17, Farm Laborer,
?Emma?, 14, Domestic,
Albert Bryant, 11

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1870 census info:
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NO Emma Eliza Parsons
NO Emma Parsons
NO Emma Fogel
.........
Allen S. Parsons, Mandana Prasons, Malhon S. (M 20), Mary ?. (F 18),
J. E. (M 8), Chas. Parsons (M 20) Farm Laborer, 
Matilda Kelly (F 1?) Housekeeper, Rose Berry (F 21) Housekeeper