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Note 10 - Benefit Plans (Details Textual) $ in Thousands		9 Months Ended
	Mar. 15, 2019	Sep. 30, 2019 USD ($)	Sep. 30, 2018 USD ($)
Defined Contribution Plan, Employer Matching Contribution, Percent of Match		1.00%
Defined Contribution Plan, Employer Matching Contribution for Employee's Contribution Between Two and Six Percent, Percent of Match		50.00%
Defined Contribution Plan, Minimum Age for Eligibility		19 years
Defined Contribution Plan, Employer Matching Contribution, Vesting Period		2 years
The 401(k) Plan [Member]
Defined Contribution Plan, Cost		$ 631	$ 596
Supplemental Employee Retirement Plan [Member]
Defined Contribution Plan, Cost		$ 155
Defined Contribution Plan, Number of Employees	3
Defined Contribution Plan, Retirement Benefits Payable, Number of Monthly Payments	180

X

- Definition

The percentage the employer matches of the employee's percentage contribution between two and six percent.

+ References

No definition available.

+ Details

Name:	fxnc_DefinedContributionPlanEmployerMatchingContributionForEmployeesContributionBetweenTwoAndSixPercentPercentOfMatch
Namespace Prefix:	fxnc_
Data Type:	num:percentItemType
Balance Type:	na
Period Type:	duration

X

- Definition

The period of time over which the employer's matching contributions vest under the benefit plan.

+ References

No definition available.

+ Details

Name:	fxnc_DefinedContributionPlanEmployerMatchingContributionVestingPeriod
Namespace Prefix:	fxnc_
Data Type:	xbrli:durationItemType
Balance Type:	na
Period Type:	duration

X

- Definition

The minimum age an employee must be in order to participate in the benefit plan.

+ References

No definition available.

+ Details

Name:	fxnc_DefinedContributionPlanMinimumAgeForEligibility
Namespace Prefix:	fxnc_
Data Type:	xbrli:durationItemType
Balance Type:	na
Period Type:	duration

X

- Definition

The number of fixed, monthly payments under the retirement benefit plan.

+ References

No definition available.

+ Details

Name:	fxnc_DefinedContributionPlanRetirementBenefitsPayableNumberOfMonthlyPayments
Namespace Prefix:	fxnc_
Data Type:	xbrli:integerItemType
Balance Type:	na
Period Type:	duration

X

- Definition

Amount of cost for defined contribution plan.

+ References

Reference 1: http://fasb.org/us-gaap/role/ref/legacyRef
-Publisher FASB
-Name Accounting Standards Codification
-Topic 715
-SubTopic 70
-Section 50
-Paragraph 1
-URI http://asc.fasb.org/extlink&oid=49170846&loc=d3e28014-114942

+ Details

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Namespace Prefix:	us-gaap_
Data Type:	xbrli:monetaryItemType
Balance Type:	debit
Period Type:	duration

X

- Definition

Percentage employer matches of the employee's percentage contribution matched.

+ References

No definition available.

+ Details

Name:	us-gaap_DefinedContributionPlanEmployerMatchingContributionPercentOfMatch
Namespace Prefix:	us-gaap_
Data Type:	num:percentItemType
Balance Type:	na
Period Type:	duration

X

- Definition

Number of employees eligible to participate in defined contribution plan.

+ References

No definition available.

+ Details

Name:	us-gaap_DefinedContributionPlanNumberOfEmployees
Namespace Prefix:	us-gaap_
Data Type:	xbrli:integerItemType
Balance Type:	na
Period Type:	instant

X

- Details

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Namespace Prefix:
Data Type:	na
Balance Type:
Period Type:

X

- Details

Name:	us-gaap_RetirementPlanTypeAxis=us-gaap_SupplementalEmployeeRetirementPlanDefinedBenefitMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type: