Is Natural always means organic

The word 'natural'  implies ingredients from nature. For any product to be true  organic it needs to meet a few  standards. For example: the product must feature ingredients grown on farmland that has been free of synthetic chemicals for at least 3 years; and while processing, organic ingredients need to be kept separately from inorganic ones.

1. Certification matters :- Just because a brand has the word 'organic' in its name doesn't mean it fits .  Look for a stamp! Agencies like ECOCERT, Onecert, Natrue, IMO Control, and Lacon Quality conduct regular on-site inspections before awarding a certificate that meets India Organic, USDA Organic, Japanese Agriculture Standard, or EU Organic standards. 
2.  Limited choice:-  Unfortunately in India, there are not too many brands that can boast a 100% certified stamp. There is however, a growing crop of brands that source from farms that meet USDA Organic and/or India Organic standards, and utilise organic ingredients certified by agencies like ECOCERT. These will be indicated on the label. Minimal processing, solar dryers and a cold-press process also qualify these brands for a green thumbs up. 
3. Synthetics are out :-Preservatives like parabens; petroleum by-products like petroleum jelly and mineral oil; emollients derived from polyethylene glycol (labelled as PEGs); artificial fragrances laden with phthalates; surfactants like sulphates; ionizing radiation; pesticides; and other doubted synthetic components of cosmetics are all shown the way out.
4. Preservatives in natural products:- Without preservatives, that soothing cream you can't do without would soon become a breeding ground for microbes. Which is why organic brands rely on natural substances like honey, essential oils, soya derivatives, and lemon to preserve formulations. There are also a few 'safe' synthetics, certified by agencies like ECOCERT that brands freely use. The likes of sorbic acid, benzoic acid, and benzylic alcohol often find a spot on the label. These are mostly accompanied by an asterisk and a key to denote the certifying agency.