Note C - Loans - Age Analysis of the Loan Portfolio, Segregated by Class of Loans (Details) - USD ($) $ in Thousands	Dec. 31, 2023	Dec. 31, 2022
Loans	$ 238,339	$ 237,878
Real Estate, Residential [Member]
Loans	74,296	67,512
Real Estate, Construction [Member]
Loans	27,353	30,146
Real Estate, Nonresidential [Member]
Loans	115,014	122,233
Commercial And Industrial Loan [Member]
Loans	12,496	10,497
Other Loan [Member]
Loans	9,180	7,490
Financial Asset, 30 to 59 Days Past Due [Member]
Loans	492	127
Financial Asset, 30 to 59 Days Past Due [Member] | Real Estate, Residential [Member]
Loans	207	34
Financial Asset, 30 to 59 Days Past Due [Member] | Real Estate, Construction [Member]
Loans	131	79
Financial Asset, 30 to 59 Days Past Due [Member] | Real Estate, Nonresidential [Member]
Loans	58	0
Financial Asset, 30 to 59 Days Past Due [Member] | Commercial And Industrial Loan [Member]
Loans	21	0
Financial Asset, 30 to 59 Days Past Due [Member] | Other Loan [Member]
Loans	75	14
Financial Asset, 60 to 89 Days Past Due [Member]
Loans	570	51
Financial Asset, 60 to 89 Days Past Due [Member] | Real Estate, Residential [Member]
Loans	540	49
Financial Asset, 60 to 89 Days Past Due [Member] | Real Estate, Construction [Member]
Loans	0	2
Financial Asset, 60 to 89 Days Past Due [Member] | Real Estate, Nonresidential [Member]
Loans	0	0
Financial Asset, 60 to 89 Days Past Due [Member] | Commercial And Industrial Loan [Member]
Loans	0	0
Financial Asset, 60 to 89 Days Past Due [Member] | Other Loan [Member]
Loans	30	0
Financial Asset, Equal to or Greater than 90 Days Past Due [Member]
Loans	0	1,101
Financial Asset, Equal to or Greater than 90 Days Past Due [Member] | Real Estate, Residential [Member]
Loans	0	0
Financial Asset, Equal to or Greater than 90 Days Past Due [Member] | Real Estate, Construction [Member]
Loans	0	0
Financial Asset, Equal to or Greater than 90 Days Past Due [Member] | Real Estate, Nonresidential [Member]
Loans	0	1,101
Financial Asset, Equal to or Greater than 90 Days Past Due [Member] | Commercial And Industrial Loan [Member]
Loans	0	0
Financial Asset, Equal to or Greater than 90 Days Past Due [Member] | Other Loan [Member]
Loans	0	0
Financial Asset, Past Due [Member]
Loans	1,062	1,279
Financial Asset, Past Due [Member] | Real Estate, Residential [Member]
Loans	747	83
Financial Asset, Past Due [Member] | Real Estate, Construction [Member]
Loans	131	81
Financial Asset, Past Due [Member] | Real Estate, Nonresidential [Member]
Loans	58	1,101
Financial Asset, Past Due [Member] | Commercial And Industrial Loan [Member]
Loans	21	0
Financial Asset, Past Due [Member] | Other Loan [Member]
Loans	105	14
Financial Asset, Not Past Due [Member]
Loans	237,277	236,599
Financial Asset, Not Past Due [Member] | Real Estate, Residential [Member]
Loans	73,549	67,429
Financial Asset, Not Past Due [Member] | Real Estate, Construction [Member]
Loans	27,222	30,065
Financial Asset, Not Past Due [Member] | Real Estate, Nonresidential [Member]
Loans	114,956	121,132
Financial Asset, Not Past Due [Member] | Commercial And Industrial Loan [Member]
Loans	12,475	10,497
Financial Asset, Not Past Due [Member] | Other Loan [Member]
Loans	$ 9,075	$ 7,476