That was the off-peak service. I've no idea what the peak service was like back then.
Just for a point of reference: the Summer 1962 timetable shows the following Monday to Friday services from Liverpool Street:
Off-Peak
Chingford 6tph
xx06, xx26, xx46 Bethnal Green, Hackney Down then all stns.
xx16, xx36, xx56 Hackney Downs, St James' St then all stns.
Enfield 6tph
xx14, xx44 All stns.
xx24, xx54 Hackney Downs then all stns.
xx04, xx34 Hackney Downs, Stoke Newington, Seven Sisters then all stns.
Southbury Loop 2tph
xx12, xx42 Lower Edmonton then all to Broxbourne dividing there with Front Portion all to Bishop's Stortford & Rear Portion all to Hertford East.
Peak
Chingford 9tph
xx02, xx10, xx22, xx30, xx42, xx50 St James' St then all stns.
xx06, xx26, xx46 Bethnal Green, Hackney Downs then all stns.
Enfield Pattern of 6tph (but didn't operate for full peak hour)
xx16, xx36, xx56 All stns.
(xx04), xx24, xx44 Hackney Downs, Stoke Newington, Seven Sisters then all stns.
Note Between 1630 & 1829 there were limited stop Enfield departures at 1724 and 1744 only.
Southbury Loop 3tph
xx12, xx32, xx52 Lower Edmonton then all to Broxbourne dividing there with Front Portion all to Bishop's Stortford & Rear Portion all to Hertford East.
This was, of course, pre-Victoria Line.
There were also very few other trains on the section of line. In the off-peak there was an hourly Lea Valley local leaving Liverpool Street at xx22 for Hackney Downs and all stns to Cheshunt; every two hours there was a local from Stratford via the Lea Valley to Cheshunt (1005, 1205, 1405, 1605). Then the longer distance service comprised departures at 1036, 1236, 1436 & 1636 for King's Lynn with a calling pattern of Bishop's Stortford, Audley End, Cambridge and beyond. The Fenman , at 1636, omitted Bishop's Stortford. These fasts fed a two-hourly down local which started at Bishop's Stortford. And that, basically was that.
In the peaks there was 3tph (xx00, xx20, xx40) for Clapton and all stns. to Broxbourne. There was 3tph (1714, 1734, & 1754 only) for Harlow Town and Bishop's Stortford and 3tph running from Liverpool Street beyond Bishop's Stortford:
1636 The Fenman : Audley End, Cambridge -> King's Lynn
1656 Bishop's Stortford, Audley End, Cambridge -> Bury St Edmunds
1716 Bishop's Stortford, Stansted, Elsenham, Newport, Audley End, Cambridge -> Ely
1736 Bishop's Stortford, Audley End, Cambridge
1756 Bishop's Stortford, Stansted, Elsenham, Newport, Audley End, Cambridge
1836 Bishop's Stortford, Audley End, Cambridge -> King's Lynn
As in the off-peak there was a variety of locals starting northbound from Bishop's Stortford.
Finally there was a non-stop relief to Bishop's Stortford on a Friday at 1834
The through trains from Stratford to the Lea Valley took a break in the peak, though there were trains at 1631, 1705, 1725, 1813 and 1847 from Stratford Low Level (through from North Woolwich) to Palace Gates via Lea Bridge and Seven Sisters.
I hope that gives a flavour of what was on offer more than 50 years ago.
Memory suggests that the Victoria Line knocked the Chingford service back a long way. Of course the development (horrid word!) of Stansted Airport, and the growth of longer distance peak and off-peak traffic, renders the re-creation of the peak service levels on the more local routes an all but impossible task.