1 ring on cooker keeps blowing fuse - Baumatic B151 Electric Single Oven

I have heard of people doing that and getting away with it - such is the capacity of the modern domestic ring circuit. Certainly no one should be doing it and no one with electrical knowledge would condone or recommend such a thing as if you didn't get away with it, it could burn your house down without blowing a fuse or tripping any safety devices.
The cables carrying the current to the sockets and light fittings traverse many flammable things between the power outlet and the electricity meter...

In an emergency you could fit a plug and use the cooker but never, ever more than one boiling ring and one simmer ring OR the grill OR perhaps even the oven if it is a conventional oven.
If you do decide to take the chance I advise you most strongly never to trust anyone else to operate the cooker and never to leave it unattended...

A large boiling ring is typically 1500/2000 watts and a small simmering ring is typically 800/1000 watts. I can't tell you what the consumption of the other equipment might be but it should be easy to discover as the manufacturer might have a downloadable manual on the website or you could try googling replacement heating elements.

You should have a cooker outlet installed as soon as possible.

If 2 rings are not working, then it is probably the rings that are faulty
It means testing the rings with a meter.

I would suggest the wrong wires were cut off and joined. If the ground wire touches the power wire a fuse or circuit breaker will blow.. Before you do anything more make sure the curcuit breaker is not blown. If it is reset it and turn the cooker back on. If the breaker blows again then it is wired wrong.

The heating element is shorting out and causing it to blow the fuse

The grill element should not 'blow' by just touching it - it should be earthed. The elements do gradually disintegrate over time & the inside wire element either fractures or touches the element casing causing the mains to trip. Sometimes this makes it trip just once & then stops working. Replace the element - not usually any fuse in circuit with this. Often held in by 2 screws adjacent to the element at back of oven and conections via Fast-ons- Rick

The ring that causes the trip out needs to be replaced with a new one.

You evidently have an earth fault on the cooker i.e one of the heating elements has failed and the trip switch is operating to prevent you getting a shock.

Most likely it is one of the radiant rings that is at fault but it could also be an oven element.

There is no easy way to tell without checking with a multi-meter for earth continuity between each element and the cooker frame, you can do this with the power off and the meter set to resistance or continuity test.

There should be no reading between healthy elements and earth but a faulty element will normally show a reading when the probe touches the cooker frame.